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Finding the Fourth Proportional to 24,724.45, 34,119.16 and 13,546.21

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Solution

The fourth proportional to 24,724.45, 34,119.16 and 13,546.21 is: 18,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.45 : 34,119.16 = 13,546.21 : x
  2. Step 2: Convert to fraction form
    24,724.45/34,119.16 = 13,546.21/x
  3. Step 3: Cross multiply
    24,724.45x = 34,119.16 × 13,546.21
  4. Step 4: Simplify right side
    24,724.45x = 462,185,306.38
  5. Step 5: Solve for x
    x = 462,185,306.38/24,724.45
  6. Step 6: Final answer
    x = 18,693.45

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Why These Related Problems?

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