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Finding the Fourth Proportional to 16,133.13, 24,199.70 and 9,119.70

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Solution

The fourth proportional to 16,133.13, 24,199.70 and 9,119.70 is: 13,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.13 : 24,199.70 = 9,119.70 : x
  2. Step 2: Convert to fraction form
    16,133.13/24,199.70 = 9,119.70/x
  3. Step 3: Cross multiply
    16,133.13x = 24,199.70 × 9,119.70
  4. Step 4: Simplify right side
    16,133.13x = 220,693,958.49
  5. Step 5: Solve for x
    x = 220,693,958.49/16,133.13
  6. Step 6: Final answer
    x = 13,679.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.