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Finding the Fourth Proportional to 22,741.28, 34,143.80 and 11,655.92

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Solution

The fourth proportional to 22,741.28, 34,143.80 and 11,655.92 is: 17,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.28 : 34,143.80 = 11,655.92 : x
  2. Step 2: Convert to fraction form
    22,741.28/34,143.80 = 11,655.92/x
  3. Step 3: Cross multiply
    22,741.28x = 34,143.80 × 11,655.92
  4. Step 4: Simplify right side
    22,741.28x = 397,977,401.30
  5. Step 5: Solve for x
    x = 397,977,401.30/22,741.28
  6. Step 6: Final answer
    x = 17,500.22

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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.