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Finding the Fourth Proportional to 24,736, 34,135.68 and 13,558.08

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Solution

The fourth proportional to 24,736, 34,135.68 and 13,558.08 is: 18,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736 : 34,135.68 = 13,558.08 : x
  2. Step 2: Convert to fraction form
    24,736/34,135.68 = 13,558.08/x
  3. Step 3: Cross multiply
    24,736x = 34,135.68 × 13,558.08
  4. Step 4: Simplify right side
    24,736x = 462,814,280.29
  5. Step 5: Solve for x
    x = 462,814,280.29/24,736
  6. Step 6: Final answer
    x = 18,710.15

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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.