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Finding the Fourth Proportional to 15,384.96, 23,081.76 and 5,524.20

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Solution

The fourth proportional to 15,384.96, 23,081.76 and 5,524.20 is: 8,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.96 : 23,081.76 = 5,524.20 : x
  2. Step 2: Convert to fraction form
    15,384.96/23,081.76 = 5,524.20/x
  3. Step 3: Cross multiply
    15,384.96x = 23,081.76 × 5,524.20
  4. Step 4: Simplify right side
    15,384.96x = 127,508,258.59
  5. Step 5: Solve for x
    x = 127,508,258.59/15,384.96
  6. Step 6: Final answer
    x = 8,287.85

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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.