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Finding the Fourth Proportional to 21,512.40, 32,272.68 and 7,471.88

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Solution

The fourth proportional to 21,512.40, 32,272.68 and 7,471.88 is: 11,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.40 : 32,272.68 = 7,471.88 : x
  2. Step 2: Convert to fraction form
    21,512.40/32,272.68 = 7,471.88/x
  3. Step 3: Cross multiply
    21,512.40x = 32,272.68 × 7,471.88
  4. Step 4: Simplify right side
    21,512.40x = 241,137,592.24
  5. Step 5: Solve for x
    x = 241,137,592.24/21,512.40
  6. Step 6: Final answer
    x = 11,209.24

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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.