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Finding the Fourth Proportional to 15,111.24, 20,849.04 and 9,144.38

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Solution

The fourth proportional to 15,111.24, 20,849.04 and 9,144.38 is: 12,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.24 : 20,849.04 = 9,144.38 : x
  2. Step 2: Convert to fraction form
    15,111.24/20,849.04 = 9,144.38/x
  3. Step 3: Cross multiply
    15,111.24x = 20,849.04 × 9,144.38
  4. Step 4: Simplify right side
    15,111.24x = 190,651,440.15
  5. Step 5: Solve for x
    x = 190,651,440.15/15,111.24
  6. Step 6: Final answer
    x = 12,616.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.