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Finding the Fourth Proportional to 24,006.74, 36,022.76 and 12,319.96

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Solution

The fourth proportional to 24,006.74, 36,022.76 and 12,319.96 is: 18,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.74 : 36,022.76 = 12,319.96 : x
  2. Step 2: Convert to fraction form
    24,006.74/36,022.76 = 12,319.96/x
  3. Step 3: Cross multiply
    24,006.74x = 36,022.76 × 12,319.96
  4. Step 4: Simplify right side
    24,006.74x = 443,798,962.29
  5. Step 5: Solve for x
    x = 443,798,962.29/24,006.74
  6. Step 6: Final answer
    x = 18,486.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.