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Finding the Fourth Proportional to 15,774.78, 21,770.46 and 9,487.02

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Solution

The fourth proportional to 15,774.78, 21,770.46 and 9,487.02 is: 13,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.78 : 21,770.46 = 9,487.02 : x
  2. Step 2: Convert to fraction form
    15,774.78/21,770.46 = 9,487.02/x
  3. Step 3: Cross multiply
    15,774.78x = 21,770.46 × 9,487.02
  4. Step 4: Simplify right side
    15,774.78x = 206,536,789.43
  5. Step 5: Solve for x
    x = 206,536,789.43/15,774.78
  6. Step 6: Final answer
    x = 13,092.85

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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.