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Finding the Fourth Proportional to 15,207.57, 22,821.62 and 5,346.90

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Solution

The fourth proportional to 15,207.57, 22,821.62 and 5,346.90 is: 8,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.57 : 22,821.62 = 5,346.90 : x
  2. Step 2: Convert to fraction form
    15,207.57/22,821.62 = 5,346.90/x
  3. Step 3: Cross multiply
    15,207.57x = 22,821.62 × 5,346.90
  4. Step 4: Simplify right side
    15,207.57x = 122,024,893.24
  5. Step 5: Solve for x
    x = 122,024,893.24/15,207.57
  6. Step 6: Final answer
    x = 8,023.96

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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.