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Finding the Fourth Proportional to 12,572.15, 18,851.00 and 5,170.50

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Solution

The fourth proportional to 12,572.15, 18,851.00 and 5,170.50 is: 7,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.15 : 18,851.00 = 5,170.50 : x
  2. Step 2: Convert to fraction form
    12,572.15/18,851.00 = 5,170.50/x
  3. Step 3: Cross multiply
    12,572.15x = 18,851.00 × 5,170.50
  4. Step 4: Simplify right side
    12,572.15x = 97,469,069.65
  5. Step 5: Solve for x
    x = 97,469,069.65/12,572.15
  6. Step 6: Final answer
    x = 7,752.78

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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.