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Finding the Fourth Proportional to 24,677.38, 34,055.59 and 13,499.38

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Solution

The fourth proportional to 24,677.38, 34,055.59 and 13,499.38 is: 18,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.38 : 34,055.59 = 13,499.38 : x
  2. Step 2: Convert to fraction form
    24,677.38/34,055.59 = 13,499.38/x
  3. Step 3: Cross multiply
    24,677.38x = 34,055.59 × 13,499.38
  4. Step 4: Simplify right side
    24,677.38x = 459,729,180.26
  5. Step 5: Solve for x
    x = 459,729,180.26/24,677.38
  6. Step 6: Final answer
    x = 18,629.58

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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.