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Finding the Fourth Proportional to 21,398.13, 32,109.89 and 9,711.18

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Solution

The fourth proportional to 21,398.13, 32,109.89 and 9,711.18 is: 14,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.13 : 32,109.89 = 9,711.18 : x
  2. Step 2: Convert to fraction form
    21,398.13/32,109.89 = 9,711.18/x
  3. Step 3: Cross multiply
    21,398.13x = 32,109.89 × 9,711.18
  4. Step 4: Simplify right side
    21,398.13x = 311,824,873.01
  5. Step 5: Solve for x
    x = 311,824,873.01/21,398.13
  6. Step 6: Final answer
    x = 14,572.53

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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.