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Finding the Fourth Proportional to 24,065.50, 36,099.27 and 7,425.16

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Solution

The fourth proportional to 24,065.50, 36,099.27 and 7,425.16 is: 11,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.50 : 36,099.27 = 7,425.16 : x
  2. Step 2: Convert to fraction form
    24,065.50/36,099.27 = 7,425.16/x
  3. Step 3: Cross multiply
    24,065.50x = 36,099.27 × 7,425.16
  4. Step 4: Simplify right side
    24,065.50x = 268,042,765.39
  5. Step 5: Solve for x
    x = 268,042,765.39/24,065.50
  6. Step 6: Final answer
    x = 11,138.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.