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Finding the Fourth Proportional to 21,553.64, 32,306.49 and 9,069.98

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Solution

The fourth proportional to 21,553.64, 32,306.49 and 9,069.98 is: 13,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.64 : 32,306.49 = 9,069.98 : x
  2. Step 2: Convert to fraction form
    21,553.64/32,306.49 = 9,069.98/x
  3. Step 3: Cross multiply
    21,553.64x = 32,306.49 × 9,069.98
  4. Step 4: Simplify right side
    21,553.64x = 293,019,218.17
  5. Step 5: Solve for x
    x = 293,019,218.17/21,553.64
  6. Step 6: Final answer
    x = 13,594.88

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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.