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Finding the Fourth Proportional to 21,459.52, 32,177.40 and 7,411.96

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Solution

The fourth proportional to 21,459.52, 32,177.40 and 7,411.96 is: 11,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.52 : 32,177.40 = 7,411.96 : x
  2. Step 2: Convert to fraction form
    21,459.52/32,177.40 = 7,411.96/x
  3. Step 3: Cross multiply
    21,459.52x = 32,177.40 × 7,411.96
  4. Step 4: Simplify right side
    21,459.52x = 238,497,601.70
  5. Step 5: Solve for x
    x = 238,497,601.70/21,459.52
  6. Step 6: Final answer
    x = 11,113.84

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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.