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Finding the Fourth Proportional to 24,805.49, 34,231.84 and 13,475.21

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Solution

The fourth proportional to 24,805.49, 34,231.84 and 13,475.21 is: 18,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.49 : 34,231.84 = 13,475.21 : x
  2. Step 2: Convert to fraction form
    24,805.49/34,231.84 = 13,475.21/x
  3. Step 3: Cross multiply
    24,805.49x = 34,231.84 × 13,475.21
  4. Step 4: Simplify right side
    24,805.49x = 461,281,250.89
  5. Step 5: Solve for x
    x = 461,281,250.89/24,805.49
  6. Step 6: Final answer
    x = 18,595.93

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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.