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Finding the Fourth Proportional to 21,432, 32,152.96 and 11,571.20

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Solution

The fourth proportional to 21,432, 32,152.96 and 11,571.20 is: 17,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432 : 32,152.96 = 11,571.20 : x
  2. Step 2: Convert to fraction form
    21,432/32,152.96 = 11,571.20/x
  3. Step 3: Cross multiply
    21,432x = 32,152.96 × 11,571.20
  4. Step 4: Simplify right side
    21,432x = 372,048,330.75
  5. Step 5: Solve for x
    x = 372,048,330.75/21,432
  6. Step 6: Final answer
    x = 17,359.48

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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.