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Finding the Fourth Proportional to 24,199.98, 36,314.13 and 13,535.34

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Solution

The fourth proportional to 24,199.98, 36,314.13 and 13,535.34 is: 20,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.98 : 36,314.13 = 13,535.34 : x
  2. Step 2: Convert to fraction form
    24,199.98/36,314.13 = 13,535.34/x
  3. Step 3: Cross multiply
    24,199.98x = 36,314.13 × 13,535.34
  4. Step 4: Simplify right side
    24,199.98x = 491,524,096.35
  5. Step 5: Solve for x
    x = 491,524,096.35/24,199.98
  6. Step 6: Final answer
    x = 20,310.93

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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.