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Finding the Fourth Proportional to 24,654.16, 36,976.38 and 7,119.28

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Solution

The fourth proportional to 24,654.16, 36,976.38 and 7,119.28 is: 10,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.16 : 36,976.38 = 7,119.28 : x
  2. Step 2: Convert to fraction form
    24,654.16/36,976.38 = 7,119.28/x
  3. Step 3: Cross multiply
    24,654.16x = 36,976.38 × 7,119.28
  4. Step 4: Simplify right side
    24,654.16x = 263,245,202.61
  5. Step 5: Solve for x
    x = 263,245,202.61/24,654.16
  6. Step 6: Final answer
    x = 10,677.52

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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.