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Finding the Fourth Proportional to 15,171.50, 22,757.22 and 4,078.19

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Solution

The fourth proportional to 15,171.50, 22,757.22 and 4,078.19 is: 6,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.50 : 22,757.22 = 4,078.19 : x
  2. Step 2: Convert to fraction form
    15,171.50/22,757.22 = 4,078.19/x
  3. Step 3: Cross multiply
    15,171.50x = 22,757.22 × 4,078.19
  4. Step 4: Simplify right side
    15,171.50x = 92,808,267.03
  5. Step 5: Solve for x
    x = 92,808,267.03/15,171.50
  6. Step 6: Final answer
    x = 6,117.28

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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.