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Finding the Fourth Proportional to 15,151.60, 22,694.52 and 7,344

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Solution

The fourth proportional to 15,151.60, 22,694.52 and 7,344 is: 11,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.60 : 22,694.52 = 7,344 : x
  2. Step 2: Convert to fraction form
    15,151.60/22,694.52 = 7,344/x
  3. Step 3: Cross multiply
    15,151.60x = 22,694.52 × 7,344
  4. Step 4: Simplify right side
    15,151.60x = 166,668,554.88
  5. Step 5: Solve for x
    x = 166,668,554.88/15,151.60
  6. Step 6: Final answer
    x = 11,000.06

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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.