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Finding the Fourth Proportional to 16,186.66, 22,332.38 and 9,815.81

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Solution

The fourth proportional to 16,186.66, 22,332.38 and 9,815.81 is: 13,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.66 : 22,332.38 = 9,815.81 : x
  2. Step 2: Convert to fraction form
    16,186.66/22,332.38 = 9,815.81/x
  3. Step 3: Cross multiply
    16,186.66x = 22,332.38 × 9,815.81
  4. Step 4: Simplify right side
    16,186.66x = 219,210,238.19
  5. Step 5: Solve for x
    x = 219,210,238.19/16,186.66
  6. Step 6: Final answer
    x = 13,542.65

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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.