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Finding the Fourth Proportional to 15,204.81, 22,808.42 and 5,346.30

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Solution

The fourth proportional to 15,204.81, 22,808.42 and 5,346.30 is: 8,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.81 : 22,808.42 = 5,346.30 : x
  2. Step 2: Convert to fraction form
    15,204.81/22,808.42 = 5,346.30/x
  3. Step 3: Cross multiply
    15,204.81x = 22,808.42 × 5,346.30
  4. Step 4: Simplify right side
    15,204.81x = 121,940,734.69
  5. Step 5: Solve for x
    x = 121,940,734.69/15,204.81
  6. Step 6: Final answer
    x = 8,019.88

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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.