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Finding the Fourth Proportional to 24,978.66, 34,470.68 and 13,648.38

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Solution

The fourth proportional to 24,978.66, 34,470.68 and 13,648.38 is: 18,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.66 : 34,470.68 = 13,648.38 : x
  2. Step 2: Convert to fraction form
    24,978.66/34,470.68 = 13,648.38/x
  3. Step 3: Cross multiply
    24,978.66x = 34,470.68 × 13,648.38
  4. Step 4: Simplify right side
    24,978.66x = 470,468,871.26
  5. Step 5: Solve for x
    x = 470,468,871.26/24,978.66
  6. Step 6: Final answer
    x = 18,834.83

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1.5x scale

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.