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Finding the Fourth Proportional to 24,761, 34,169.56 and 14,149.94

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Solution

The fourth proportional to 24,761, 34,169.56 and 14,149.94 is: 19,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761 : 34,169.56 = 14,149.94 : x
  2. Step 2: Convert to fraction form
    24,761/34,169.56 = 14,149.94/x
  3. Step 3: Cross multiply
    24,761x = 34,169.56 × 14,149.94
  4. Step 4: Simplify right side
    24,761x = 483,497,223.83
  5. Step 5: Solve for x
    x = 483,497,223.83/24,761
  6. Step 6: Final answer
    x = 19,526.56

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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.