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Finding the Fourth Proportional to 17,417.20, 24,041.20 and 11,129.60

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Solution

The fourth proportional to 17,417.20, 24,041.20 and 11,129.60 is: 15,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.20 : 24,041.20 = 11,129.60 : x
  2. Step 2: Convert to fraction form
    17,417.20/24,041.20 = 11,129.60/x
  3. Step 3: Cross multiply
    17,417.20x = 24,041.20 × 11,129.60
  4. Step 4: Simplify right side
    17,417.20x = 267,568,939.52
  5. Step 5: Solve for x
    x = 267,568,939.52/17,417.20
  6. Step 6: Final answer
    x = 15,362.34

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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.