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Finding the Fourth Proportional to 24,719.53, 34,112.75 and 13,388.76

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Solution

The fourth proportional to 24,719.53, 34,112.75 and 13,388.76 is: 18,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.53 : 34,112.75 = 13,388.76 : x
  2. Step 2: Convert to fraction form
    24,719.53/34,112.75 = 13,388.76/x
  3. Step 3: Cross multiply
    24,719.53x = 34,112.75 × 13,388.76
  4. Step 4: Simplify right side
    24,719.53x = 456,727,355.75
  5. Step 5: Solve for x
    x = 456,727,355.75/24,719.53
  6. Step 6: Final answer
    x = 18,476.38

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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.