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Finding the Fourth Proportional to 21,424.52, 32,141.97 and 6,431.60

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Solution

The fourth proportional to 21,424.52, 32,141.97 and 6,431.60 is: 9,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.52 : 32,141.97 = 6,431.60 : x
  2. Step 2: Convert to fraction form
    21,424.52/32,141.97 = 6,431.60/x
  3. Step 3: Cross multiply
    21,424.52x = 32,141.97 × 6,431.60
  4. Step 4: Simplify right side
    21,424.52x = 206,724,374.61
  5. Step 5: Solve for x
    x = 206,724,374.61/21,424.52
  6. Step 6: Final answer
    x = 9,648.96

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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.