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Finding the Fourth Proportional to 15,319.63, 22,974.28 and 5,829.70

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Solution

The fourth proportional to 15,319.63, 22,974.28 and 5,829.70 is: 8,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.63 : 22,974.28 = 5,829.70 : x
  2. Step 2: Convert to fraction form
    15,319.63/22,974.28 = 5,829.70/x
  3. Step 3: Cross multiply
    15,319.63x = 22,974.28 × 5,829.70
  4. Step 4: Simplify right side
    15,319.63x = 133,933,122.61
  5. Step 5: Solve for x
    x = 133,933,122.61/15,319.63
  6. Step 6: Final answer
    x = 8,742.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.