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Finding the Fourth Proportional to 24,869.42, 37,304.13 and 8,224.98

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Solution

The fourth proportional to 24,869.42, 37,304.13 and 8,224.98 is: 12,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.42 : 37,304.13 = 8,224.98 : x
  2. Step 2: Convert to fraction form
    24,869.42/37,304.13 = 8,224.98/x
  3. Step 3: Cross multiply
    24,869.42x = 37,304.13 × 8,224.98
  4. Step 4: Simplify right side
    24,869.42x = 306,825,723.17
  5. Step 5: Solve for x
    x = 306,825,723.17/24,869.42
  6. Step 6: Final answer
    x = 12,337.47

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1.5x scale

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.