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Finding the Fourth Proportional to 22,966.92, 31,702.32 and 13,534.92

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Solution

The fourth proportional to 22,966.92, 31,702.32 and 13,534.92 is: 18,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.92 : 31,702.32 = 13,534.92 : x
  2. Step 2: Convert to fraction form
    22,966.92/31,702.32 = 13,534.92/x
  3. Step 3: Cross multiply
    22,966.92x = 31,702.32 × 13,534.92
  4. Step 4: Simplify right side
    22,966.92x = 429,088,365.01
  5. Step 5: Solve for x
    x = 429,088,365.01/22,966.92
  6. Step 6: Final answer
    x = 18,682.89

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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.