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Finding the Fourth Proportional to 16,646.64, 22,937.76 and 11,332.24

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Solution

The fourth proportional to 16,646.64, 22,937.76 and 11,332.24 is: 15,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.64 : 22,937.76 = 11,332.24 : x
  2. Step 2: Convert to fraction form
    16,646.64/22,937.76 = 11,332.24/x
  3. Step 3: Cross multiply
    16,646.64x = 22,937.76 × 11,332.24
  4. Step 4: Simplify right side
    16,646.64x = 259,936,201.38
  5. Step 5: Solve for x
    x = 259,936,201.38/16,646.64
  6. Step 6: Final answer
    x = 15,614.93

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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.