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Finding the Fourth Proportional to 15,219.46, 22,829.14 and 5,357.62

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Solution

The fourth proportional to 15,219.46, 22,829.14 and 5,357.62 is: 8,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.46 : 22,829.14 = 5,357.62 : x
  2. Step 2: Convert to fraction form
    15,219.46/22,829.14 = 5,357.62/x
  3. Step 3: Cross multiply
    15,219.46x = 22,829.14 × 5,357.62
  4. Step 4: Simplify right side
    15,219.46x = 122,309,857.05
  5. Step 5: Solve for x
    x = 122,309,857.05/15,219.46
  6. Step 6: Final answer
    x = 8,036.41

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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.