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Finding the Fourth Proportional to 24,377.32, 36,566.10 and 8,783.80

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Solution

The fourth proportional to 24,377.32, 36,566.10 and 8,783.80 is: 13,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.32 : 36,566.10 = 8,783.80 : x
  2. Step 2: Convert to fraction form
    24,377.32/36,566.10 = 8,783.80/x
  3. Step 3: Cross multiply
    24,377.32x = 36,566.10 × 8,783.80
  4. Step 4: Simplify right side
    24,377.32x = 321,189,309.18
  5. Step 5: Solve for x
    x = 321,189,309.18/24,377.32
  6. Step 6: Final answer
    x = 13,175.74

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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.