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Finding the Fourth Proportional to 24,374.30, 36,570.78 and 8,580.96

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Solution

The fourth proportional to 24,374.30, 36,570.78 and 8,580.96 is: 12,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.30 : 36,570.78 = 8,580.96 : x
  2. Step 2: Convert to fraction form
    24,374.30/36,570.78 = 8,580.96/x
  3. Step 3: Cross multiply
    24,374.30x = 36,570.78 × 8,580.96
  4. Step 4: Simplify right side
    24,374.30x = 313,812,400.35
  5. Step 5: Solve for x
    x = 313,812,400.35/24,374.30
  6. Step 6: Final answer
    x = 12,874.73

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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.