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Finding the Fourth Proportional to 15,317.44, 22,978.32 and 5,454.61

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Solution

The fourth proportional to 15,317.44, 22,978.32 and 5,454.61 is: 8,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317.44 : 22,978.32 = 5,454.61 : x
  2. Step 2: Convert to fraction form
    15,317.44/22,978.32 = 5,454.61/x
  3. Step 3: Cross multiply
    15,317.44x = 22,978.32 × 5,454.61
  4. Step 4: Simplify right side
    15,317.44x = 125,337,774.06
  5. Step 5: Solve for x
    x = 125,337,774.06/15,317.44
  6. Step 6: Final answer
    x = 8,182.68

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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.