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Finding the Fourth Proportional to 24,648, 36,976.88 and 12,609.80

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Solution

The fourth proportional to 24,648, 36,976.88 and 12,609.80 is: 18,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648 : 36,976.88 = 12,609.80 : x
  2. Step 2: Convert to fraction form
    24,648/36,976.88 = 12,609.80/x
  3. Step 3: Cross multiply
    24,648x = 36,976.88 × 12,609.80
  4. Step 4: Simplify right side
    24,648x = 466,271,061.42
  5. Step 5: Solve for x
    x = 466,271,061.42/24,648
  6. Step 6: Final answer
    x = 18,917.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.