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Finding the Fourth Proportional to 24,835, 37,268.92 and 11,691.13

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Solution

The fourth proportional to 24,835, 37,268.92 and 11,691.13 is: 17,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835 : 37,268.92 = 11,691.13 : x
  2. Step 2: Convert to fraction form
    24,835/37,268.92 = 11,691.13/x
  3. Step 3: Cross multiply
    24,835x = 37,268.92 × 11,691.13
  4. Step 4: Simplify right side
    24,835x = 435,715,788.68
  5. Step 5: Solve for x
    x = 435,715,788.68/24,835
  6. Step 6: Final answer
    x = 17,544.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.