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Finding the Fourth Proportional to 24,762.25, 34,168.28 and 14,149.83

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Solution

The fourth proportional to 24,762.25, 34,168.28 and 14,149.83 is: 19,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.25 : 34,168.28 = 14,149.83 : x
  2. Step 2: Convert to fraction form
    24,762.25/34,168.28 = 14,149.83/x
  3. Step 3: Cross multiply
    24,762.25x = 34,168.28 × 14,149.83
  4. Step 4: Simplify right side
    24,762.25x = 483,475,353.39
  5. Step 5: Solve for x
    x = 483,475,353.39/24,762.25
  6. Step 6: Final answer
    x = 19,524.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.