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Finding the Fourth Proportional to 15,243.28, 22,849.24 and 6,929.08

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Solution

The fourth proportional to 15,243.28, 22,849.24 and 6,929.08 is: 10,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.28 : 22,849.24 = 6,929.08 : x
  2. Step 2: Convert to fraction form
    15,243.28/22,849.24 = 6,929.08/x
  3. Step 3: Cross multiply
    15,243.28x = 22,849.24 × 6,929.08
  4. Step 4: Simplify right side
    15,243.28x = 158,324,211.90
  5. Step 5: Solve for x
    x = 158,324,211.90/15,243.28
  6. Step 6: Final answer
    x = 10,386.49

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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.