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Finding the Fourth Proportional to 24,802.25, 34,227.36 and 13,471.96

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Solution

The fourth proportional to 24,802.25, 34,227.36 and 13,471.96 is: 18,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.25 : 34,227.36 = 13,471.96 : x
  2. Step 2: Convert to fraction form
    24,802.25/34,227.36 = 13,471.96/x
  3. Step 3: Cross multiply
    24,802.25x = 34,227.36 × 13,471.96
  4. Step 4: Simplify right side
    24,802.25x = 461,109,639.45
  5. Step 5: Solve for x
    x = 461,109,639.45/24,802.25
  6. Step 6: Final answer
    x = 18,591.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.