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Finding the Fourth Proportional to 17,763.54, 24,513.74 and 9,805.74

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Solution

The fourth proportional to 17,763.54, 24,513.74 and 9,805.74 is: 13,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.54 : 24,513.74 = 9,805.74 : x
  2. Step 2: Convert to fraction form
    17,763.54/24,513.74 = 9,805.74/x
  3. Step 3: Cross multiply
    17,763.54x = 24,513.74 × 9,805.74
  4. Step 4: Simplify right side
    17,763.54x = 240,375,394.57
  5. Step 5: Solve for x
    x = 240,375,394.57/17,763.54
  6. Step 6: Final answer
    x = 13,531.96

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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.