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Finding the Fourth Proportional to 21,425.70, 32,142.45 and 7,387.74

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Solution

The fourth proportional to 21,425.70, 32,142.45 and 7,387.74 is: 11,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.70 : 32,142.45 = 7,387.74 : x
  2. Step 2: Convert to fraction form
    21,425.70/32,142.45 = 7,387.74/x
  3. Step 3: Cross multiply
    21,425.70x = 32,142.45 × 7,387.74
  4. Step 4: Simplify right side
    21,425.70x = 237,460,063.56
  5. Step 5: Solve for x
    x = 237,460,063.56/21,425.70
  6. Step 6: Final answer
    x = 11,082.95

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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.