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Finding the Fourth Proportional to 24,534.74, 36,806.43 and 8,974.10

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Solution

The fourth proportional to 24,534.74, 36,806.43 and 8,974.10 is: 13,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.74 : 36,806.43 = 8,974.10 : x
  2. Step 2: Convert to fraction form
    24,534.74/36,806.43 = 8,974.10/x
  3. Step 3: Cross multiply
    24,534.74x = 36,806.43 × 8,974.10
  4. Step 4: Simplify right side
    24,534.74x = 330,304,583.46
  5. Step 5: Solve for x
    x = 330,304,583.46/24,534.74
  6. Step 6: Final answer
    x = 13,462.73

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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.