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Finding the Fourth Proportional to 15,614.92, 23,418.88 and 4,519.20

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Solution

The fourth proportional to 15,614.92, 23,418.88 and 4,519.20 is: 6,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.92 : 23,418.88 = 4,519.20 : x
  2. Step 2: Convert to fraction form
    15,614.92/23,418.88 = 4,519.20/x
  3. Step 3: Cross multiply
    15,614.92x = 23,418.88 × 4,519.20
  4. Step 4: Simplify right side
    15,614.92x = 105,834,602.50
  5. Step 5: Solve for x
    x = 105,834,602.50/15,614.92
  6. Step 6: Final answer
    x = 6,777.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.