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Finding the Fourth Proportional to 16,378,965.11, 22,602,908.03 and 9,037,255.11

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Solution

The fourth proportional to 16,378,965.11, 22,602,908.03 and 9,037,255.11 is: 12,471,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378,965.11 : 22,602,908.03 = 9,037,255.11 : x
  2. Step 2: Convert to fraction form
    16,378,965.11/22,602,908.03 = 9,037,255.11/x
  3. Step 3: Cross multiply
    16,378,965.11x = 22,602,908.03 × 9,037,255.11
  4. Step 4: Simplify right side
    16,378,965.11x = 204,268,246,049,791.22
  5. Step 5: Solve for x
    x = 204,268,246,049,791.22/16,378,965.11
  6. Step 6: Final answer
    x = 12,471,376.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.