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Finding the Fourth Proportional to 17,762.92, 24,512.69 and 9,805.14

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Solution

The fourth proportional to 17,762.92, 24,512.69 and 9,805.14 is: 13,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.92 : 24,512.69 = 9,805.14 : x
  2. Step 2: Convert to fraction form
    17,762.92/24,512.69 = 9,805.14/x
  3. Step 3: Cross multiply
    17,762.92x = 24,512.69 × 9,805.14
  4. Step 4: Simplify right side
    17,762.92x = 240,350,357.23
  5. Step 5: Solve for x
    x = 240,350,357.23/17,762.92
  6. Step 6: Final answer
    x = 13,531.02

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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.