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Finding the Fourth Proportional to 16,251.84, 22,420.26 and 11,478.78

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Solution

The fourth proportional to 16,251.84, 22,420.26 and 11,478.78 is: 15,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.84 : 22,420.26 = 11,478.78 : x
  2. Step 2: Convert to fraction form
    16,251.84/22,420.26 = 11,478.78/x
  3. Step 3: Cross multiply
    16,251.84x = 22,420.26 × 11,478.78
  4. Step 4: Simplify right side
    16,251.84x = 257,357,232.08
  5. Step 5: Solve for x
    x = 257,357,232.08/16,251.84
  6. Step 6: Final answer
    x = 15,835.58

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