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Finding the Fourth Proportional to 27,663.30, 38,180.31 and 16,332.12

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Solution

The fourth proportional to 27,663.30, 38,180.31 and 16,332.12 is: 22,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.30 : 38,180.31 = 16,332.12 : x
  2. Step 2: Convert to fraction form
    27,663.30/38,180.31 = 16,332.12/x
  3. Step 3: Cross multiply
    27,663.30x = 38,180.31 × 16,332.12
  4. Step 4: Simplify right side
    27,663.30x = 623,565,404.56
  5. Step 5: Solve for x
    x = 623,565,404.56/27,663.30
  6. Step 6: Final answer
    x = 22,541.25

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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.