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Finding the Fourth Proportional to 21,534.52, 32,279.10 and 9,855.40

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Solution

The fourth proportional to 21,534.52, 32,279.10 and 9,855.40 is: 14,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.52 : 32,279.10 = 9,855.40 : x
  2. Step 2: Convert to fraction form
    21,534.52/32,279.10 = 9,855.40/x
  3. Step 3: Cross multiply
    21,534.52x = 32,279.10 × 9,855.40
  4. Step 4: Simplify right side
    21,534.52x = 318,123,442.14
  5. Step 5: Solve for x
    x = 318,123,442.14/21,534.52
  6. Step 6: Final answer
    x = 14,772.72

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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.