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Finding the Fourth Proportional to 24,982.96, 37,476.06 and 7,454.56

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Solution

The fourth proportional to 24,982.96, 37,476.06 and 7,454.56 is: 11,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,982.96 : 37,476.06 = 7,454.56 : x
  2. Step 2: Convert to fraction form
    24,982.96/37,476.06 = 7,454.56/x
  3. Step 3: Cross multiply
    24,982.96x = 37,476.06 × 7,454.56
  4. Step 4: Simplify right side
    24,982.96x = 279,367,537.83
  5. Step 5: Solve for x
    x = 279,367,537.83/24,982.96
  6. Step 6: Final answer
    x = 11,182.32

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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.