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Finding the Fourth Proportional to 17,867.75, 24,655.74 and 9,909.80

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Solution

The fourth proportional to 17,867.75, 24,655.74 and 9,909.80 is: 13,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.75 : 24,655.74 = 9,909.80 : x
  2. Step 2: Convert to fraction form
    17,867.75/24,655.74 = 9,909.80/x
  3. Step 3: Cross multiply
    17,867.75x = 24,655.74 × 9,909.80
  4. Step 4: Simplify right side
    17,867.75x = 244,333,328.97
  5. Step 5: Solve for x
    x = 244,333,328.97/17,867.75
  6. Step 6: Final answer
    x = 13,674.55

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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.