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Finding the Fourth Proportional to 24,782.73, 37,110.57 and 13,677

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Solution

The fourth proportional to 24,782.73, 37,110.57 and 13,677 is: 20,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.73 : 37,110.57 = 13,677 : x
  2. Step 2: Convert to fraction form
    24,782.73/37,110.57 = 13,677/x
  3. Step 3: Cross multiply
    24,782.73x = 37,110.57 × 13,677
  4. Step 4: Simplify right side
    24,782.73x = 507,561,265.89
  5. Step 5: Solve for x
    x = 507,561,265.89/24,782.73
  6. Step 6: Final answer
    x = 20,480.44

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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.