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Finding the Fourth Proportional to 17,762.54, 24,512.36 and 9,805.23

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Solution

The fourth proportional to 17,762.54, 24,512.36 and 9,805.23 is: 13,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.54 : 24,512.36 = 9,805.23 : x
  2. Step 2: Convert to fraction form
    17,762.54/24,512.36 = 9,805.23/x
  3. Step 3: Cross multiply
    17,762.54x = 24,512.36 × 9,805.23
  4. Step 4: Simplify right side
    17,762.54x = 240,349,278.62
  5. Step 5: Solve for x
    x = 240,349,278.62/17,762.54
  6. Step 6: Final answer
    x = 13,531.25

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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.