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Finding the Fourth Proportional to 17,991.68, 24,822 and 10,433.84

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Solution

The fourth proportional to 17,991.68, 24,822 and 10,433.84 is: 14,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,991.68 : 24,822 = 10,433.84 : x
  2. Step 2: Convert to fraction form
    17,991.68/24,822 = 10,433.84/x
  3. Step 3: Cross multiply
    17,991.68x = 24,822 × 10,433.84
  4. Step 4: Simplify right side
    17,991.68x = 258,988,776.48
  5. Step 5: Solve for x
    x = 258,988,776.48/17,991.68
  6. Step 6: Final answer
    x = 14,394.92

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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.