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Finding the Fourth Proportional to 15,471.69, 23,204.78 and 4,378.13

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Solution

The fourth proportional to 15,471.69, 23,204.78 and 4,378.13 is: 6,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.69 : 23,204.78 = 4,378.13 : x
  2. Step 2: Convert to fraction form
    15,471.69/23,204.78 = 4,378.13/x
  3. Step 3: Cross multiply
    15,471.69x = 23,204.78 × 4,378.13
  4. Step 4: Simplify right side
    15,471.69x = 101,593,543.46
  5. Step 5: Solve for x
    x = 101,593,543.46/15,471.69
  6. Step 6: Final answer
    x = 6,566.42

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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.