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Finding the Fourth Proportional to 12,532.50, 18,798.75 and 3,767.42

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Solution

The fourth proportional to 12,532.50, 18,798.75 and 3,767.42 is: 5,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.50 : 18,798.75 = 3,767.42 : x
  2. Step 2: Convert to fraction form
    12,532.50/18,798.75 = 3,767.42/x
  3. Step 3: Cross multiply
    12,532.50x = 18,798.75 × 3,767.42
  4. Step 4: Simplify right side
    12,532.50x = 70,822,833.72
  5. Step 5: Solve for x
    x = 70,822,833.72/12,532.50
  6. Step 6: Final answer
    x = 5,651.13

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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.