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Finding the Fourth Proportional to 24,724, 34,119.84 and 13,546.72

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Solution

The fourth proportional to 24,724, 34,119.84 and 13,546.72 is: 18,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724 : 34,119.84 = 13,546.72 : x
  2. Step 2: Convert to fraction form
    24,724/34,119.84 = 13,546.72/x
  3. Step 3: Cross multiply
    24,724x = 34,119.84 × 13,546.72
  4. Step 4: Simplify right side
    24,724x = 462,211,918.92
  5. Step 5: Solve for x
    x = 462,211,918.92/24,724
  6. Step 6: Final answer
    x = 18,694.87

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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.