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Finding the Fourth Proportional to 24,806.25, 34,232.48 and 13,475.65

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Solution

The fourth proportional to 24,806.25, 34,232.48 and 13,475.65 is: 18,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.25 : 34,232.48 = 13,475.65 : x
  2. Step 2: Convert to fraction form
    24,806.25/34,232.48 = 13,475.65/x
  3. Step 3: Cross multiply
    24,806.25x = 34,232.48 × 13,475.65
  4. Step 4: Simplify right side
    24,806.25x = 461,304,833.53
  5. Step 5: Solve for x
    x = 461,304,833.53/24,806.25
  6. Step 6: Final answer
    x = 18,596.32

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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.