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Finding the Fourth Proportional to 15,713.30, 21,684.11 and 8,543.30

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Solution

The fourth proportional to 15,713.30, 21,684.11 and 8,543.30 is: 11,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.30 : 21,684.11 = 8,543.30 : x
  2. Step 2: Convert to fraction form
    15,713.30/21,684.11 = 8,543.30/x
  3. Step 3: Cross multiply
    15,713.30x = 21,684.11 × 8,543.30
  4. Step 4: Simplify right side
    15,713.30x = 185,253,705.83
  5. Step 5: Solve for x
    x = 185,253,705.83/15,713.30
  6. Step 6: Final answer
    x = 11,789.62

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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.