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Finding the Fourth Proportional to 22,702.86, 31,312.19 and 14,747.64

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Solution

The fourth proportional to 22,702.86, 31,312.19 and 14,747.64 is: 20,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.86 : 31,312.19 = 14,747.64 : x
  2. Step 2: Convert to fraction form
    22,702.86/31,312.19 = 14,747.64/x
  3. Step 3: Cross multiply
    22,702.86x = 31,312.19 × 14,747.64
  4. Step 4: Simplify right side
    22,702.86x = 461,780,905.73
  5. Step 5: Solve for x
    x = 461,780,905.73/22,702.86
  6. Step 6: Final answer
    x = 20,340.21

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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.