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Finding the Fourth Proportional to 24,738, 34,138.56 and 14,802

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Solution

The fourth proportional to 24,738, 34,138.56 and 14,802 is: 20,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738 : 34,138.56 = 14,802 : x
  2. Step 2: Convert to fraction form
    24,738/34,138.56 = 14,802/x
  3. Step 3: Cross multiply
    24,738x = 34,138.56 × 14,802
  4. Step 4: Simplify right side
    24,738x = 505,318,965.12
  5. Step 5: Solve for x
    x = 505,318,965.12/24,738
  6. Step 6: Final answer
    x = 20,426.83

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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.