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Finding the Fourth Proportional to 24,864.32, 37,291.07 and 8,220.42

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Solution

The fourth proportional to 24,864.32, 37,291.07 and 8,220.42 is: 12,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864.32 : 37,291.07 = 8,220.42 : x
  2. Step 2: Convert to fraction form
    24,864.32/37,291.07 = 8,220.42/x
  3. Step 3: Cross multiply
    24,864.32x = 37,291.07 × 8,220.42
  4. Step 4: Simplify right side
    24,864.32x = 306,548,257.65
  5. Step 5: Solve for x
    x = 306,548,257.65/24,864.32
  6. Step 6: Final answer
    x = 12,328.84

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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.