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Finding the Fourth Proportional to 21,686.55, 32,542.14 and 9,999.78

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Solution

The fourth proportional to 21,686.55, 32,542.14 and 9,999.78 is: 15,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.55 : 32,542.14 = 9,999.78 : x
  2. Step 2: Convert to fraction form
    21,686.55/32,542.14 = 9,999.78/x
  3. Step 3: Cross multiply
    21,686.55x = 32,542.14 × 9,999.78
  4. Step 4: Simplify right side
    21,686.55x = 325,414,240.73
  5. Step 5: Solve for x
    x = 325,414,240.73/21,686.55
  6. Step 6: Final answer
    x = 15,005.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.