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Finding the Fourth Proportional to 21,425.40, 32,123.70 and 9,732.60

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Solution

The fourth proportional to 21,425.40, 32,123.70 and 9,732.60 is: 14,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.40 : 32,123.70 = 9,732.60 : x
  2. Step 2: Convert to fraction form
    21,425.40/32,123.70 = 9,732.60/x
  3. Step 3: Cross multiply
    21,425.40x = 32,123.70 × 9,732.60
  4. Step 4: Simplify right side
    21,425.40x = 312,647,122.62
  5. Step 5: Solve for x
    x = 312,647,122.62/21,425.40
  6. Step 6: Final answer
    x = 14,592.36

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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.