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Finding the Fourth Proportional to 24,564.18, 36,846.15 and 7,034

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Solution

The fourth proportional to 24,564.18, 36,846.15 and 7,034 is: 10,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.18 : 36,846.15 = 7,034 : x
  2. Step 2: Convert to fraction form
    24,564.18/36,846.15 = 7,034/x
  3. Step 3: Cross multiply
    24,564.18x = 36,846.15 × 7,034
  4. Step 4: Simplify right side
    24,564.18x = 259,175,819.10
  5. Step 5: Solve for x
    x = 259,175,819.10/24,564.18
  6. Step 6: Final answer
    x = 10,550.97

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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.