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Finding the Fourth Proportional to 22,871.52, 31,565.61 and 12,800.52

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Solution

The fourth proportional to 22,871.52, 31,565.61 and 12,800.52 is: 17,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,871.52 : 31,565.61 = 12,800.52 : x
  2. Step 2: Convert to fraction form
    22,871.52/31,565.61 = 12,800.52/x
  3. Step 3: Cross multiply
    22,871.52x = 31,565.61 × 12,800.52
  4. Step 4: Simplify right side
    22,871.52x = 404,056,222.12
  5. Step 5: Solve for x
    x = 404,056,222.12/22,871.52
  6. Step 6: Final answer
    x = 17,666.35

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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.