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Finding the Fourth Proportional to 15,487.91, 21,373.35 and 8,414.31

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Solution

The fourth proportional to 15,487.91, 21,373.35 and 8,414.31 is: 11,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.91 : 21,373.35 = 8,414.31 : x
  2. Step 2: Convert to fraction form
    15,487.91/21,373.35 = 8,414.31/x
  3. Step 3: Cross multiply
    15,487.91x = 21,373.35 × 8,414.31
  4. Step 4: Simplify right side
    15,487.91x = 179,841,992.64
  5. Step 5: Solve for x
    x = 179,841,992.64/15,487.91
  6. Step 6: Final answer
    x = 11,611.77

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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.