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Finding the Fourth Proportional to 21,644.49, 32,442.15 and 9,156.72

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Solution

The fourth proportional to 21,644.49, 32,442.15 and 9,156.72 is: 13,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.49 : 32,442.15 = 9,156.72 : x
  2. Step 2: Convert to fraction form
    21,644.49/32,442.15 = 9,156.72/x
  3. Step 3: Cross multiply
    21,644.49x = 32,442.15 × 9,156.72
  4. Step 4: Simplify right side
    21,644.49x = 297,063,683.75
  5. Step 5: Solve for x
    x = 297,063,683.75/21,644.49
  6. Step 6: Final answer
    x = 13,724.68

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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.