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Finding the Fourth Proportional to 24,045.85, 36,080.52 and 13,527.19

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Solution

The fourth proportional to 24,045.85, 36,080.52 and 13,527.19 is: 20,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045.85 : 36,080.52 = 13,527.19 : x
  2. Step 2: Convert to fraction form
    24,045.85/36,080.52 = 13,527.19/x
  3. Step 3: Cross multiply
    24,045.85x = 36,080.52 × 13,527.19
  4. Step 4: Simplify right side
    24,045.85x = 488,068,049.34
  5. Step 5: Solve for x
    x = 488,068,049.34/24,045.85
  6. Step 6: Final answer
    x = 20,297.39

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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.