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Finding the Fourth Proportional to 24,678.27, 34,055.91 and 13,347.78

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Solution

The fourth proportional to 24,678.27, 34,055.91 and 13,347.78 is: 18,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.27 : 34,055.91 = 13,347.78 : x
  2. Step 2: Convert to fraction form
    24,678.27/34,055.91 = 13,347.78/x
  3. Step 3: Cross multiply
    24,678.27x = 34,055.91 × 13,347.78
  4. Step 4: Simplify right side
    24,678.27x = 454,570,794.38
  5. Step 5: Solve for x
    x = 454,570,794.38/24,678.27
  6. Step 6: Final answer
    x = 18,419.88

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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.