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Finding the Fourth Proportional to 21,471.75, 32,170.10 and 14,902.11

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Solution

The fourth proportional to 21,471.75, 32,170.10 and 14,902.11 is: 22,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.75 : 32,170.10 = 14,902.11 : x
  2. Step 2: Convert to fraction form
    21,471.75/32,170.10 = 14,902.11/x
  3. Step 3: Cross multiply
    21,471.75x = 32,170.10 × 14,902.11
  4. Step 4: Simplify right side
    21,471.75x = 479,402,294.40
  5. Step 5: Solve for x
    x = 479,402,294.40/21,471.75
  6. Step 6: Final answer
    x = 22,327.12

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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.