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Finding the Fourth Proportional to 12,331.92, 17,019 and 10,206.84

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Solution

The fourth proportional to 12,331.92, 17,019 and 10,206.84 is: 14,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.92 : 17,019 = 10,206.84 : x
  2. Step 2: Convert to fraction form
    12,331.92/17,019 = 10,206.84/x
  3. Step 3: Cross multiply
    12,331.92x = 17,019 × 10,206.84
  4. Step 4: Simplify right side
    12,331.92x = 173,710,209.96
  5. Step 5: Solve for x
    x = 173,710,209.96/12,331.92
  6. Step 6: Final answer
    x = 14,086.23

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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.