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Finding the Fourth Proportional to 24,200.88, 36,291.96 and 8,401.20

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Solution

The fourth proportional to 24,200.88, 36,291.96 and 8,401.20 is: 12,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.88 : 36,291.96 = 8,401.20 : x
  2. Step 2: Convert to fraction form
    24,200.88/36,291.96 = 8,401.20/x
  3. Step 3: Cross multiply
    24,200.88x = 36,291.96 × 8,401.20
  4. Step 4: Simplify right side
    24,200.88x = 304,896,014.35
  5. Step 5: Solve for x
    x = 304,896,014.35/24,200.88
  6. Step 6: Final answer
    x = 12,598.55

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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.