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Finding the Fourth Proportional to 22,074.32, 30,461.72 and 12,002.41

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Solution

The fourth proportional to 22,074.32, 30,461.72 and 12,002.41 is: 16,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.32 : 30,461.72 = 12,002.41 : x
  2. Step 2: Convert to fraction form
    22,074.32/30,461.72 = 12,002.41/x
  3. Step 3: Cross multiply
    22,074.32x = 30,461.72 × 12,002.41
  4. Step 4: Simplify right side
    22,074.32x = 365,614,006.60
  5. Step 5: Solve for x
    x = 365,614,006.60/22,074.32
  6. Step 6: Final answer
    x = 16,562.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.