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Finding the Fourth Proportional to 17,409.92, 24,025.92 and 9,452.24

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Solution

The fourth proportional to 17,409.92, 24,025.92 and 9,452.24 is: 13,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.92 : 24,025.92 = 9,452.24 : x
  2. Step 2: Convert to fraction form
    17,409.92/24,025.92 = 9,452.24/x
  3. Step 3: Cross multiply
    17,409.92x = 24,025.92 × 9,452.24
  4. Step 4: Simplify right side
    17,409.92x = 227,098,762.06
  5. Step 5: Solve for x
    x = 227,098,762.06/17,409.92
  6. Step 6: Final answer
    x = 13,044.22

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1.5x scale

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.