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Finding the Fourth Proportional to 24,736, 34,135.76 and 13,405.68

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Solution

The fourth proportional to 24,736, 34,135.76 and 13,405.68 is: 18,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736 : 34,135.76 = 13,405.68 : x
  2. Step 2: Convert to fraction form
    24,736/34,135.76 = 13,405.68/x
  3. Step 3: Cross multiply
    24,736x = 34,135.76 × 13,405.68
  4. Step 4: Simplify right side
    24,736x = 457,613,075.12
  5. Step 5: Solve for x
    x = 457,613,075.12/24,736
  6. Step 6: Final answer
    x = 18,499.88

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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.