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Finding the Fourth Proportional to 15,150.83, 22,715.30 and 6,380.96

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Solution

The fourth proportional to 15,150.83, 22,715.30 and 6,380.96 is: 9,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150.83 : 22,715.30 = 6,380.96 : x
  2. Step 2: Convert to fraction form
    15,150.83/22,715.30 = 6,380.96/x
  3. Step 3: Cross multiply
    15,150.83x = 22,715.30 × 6,380.96
  4. Step 4: Simplify right side
    15,150.83x = 144,945,323.06
  5. Step 5: Solve for x
    x = 144,945,323.06/15,150.83
  6. Step 6: Final answer
    x = 9,566.83

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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.