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Finding the Fourth Proportional to 24,744.71, 37,130.09 and 13,508.09

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Solution

The fourth proportional to 24,744.71, 37,130.09 and 13,508.09 is: 20,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.71 : 37,130.09 = 13,508.09 : x
  2. Step 2: Convert to fraction form
    24,744.71/37,130.09 = 13,508.09/x
  3. Step 3: Cross multiply
    24,744.71x = 37,130.09 × 13,508.09
  4. Step 4: Simplify right side
    24,744.71x = 501,556,597.43
  5. Step 5: Solve for x
    x = 501,556,597.43/24,744.71
  6. Step 6: Final answer
    x = 20,269.25

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