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Finding the Fourth Proportional to 12,019.28, 18,016.76 and 5,770.16

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Solution

The fourth proportional to 12,019.28, 18,016.76 and 5,770.16 is: 8,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.28 : 18,016.76 = 5,770.16 : x
  2. Step 2: Convert to fraction form
    12,019.28/18,016.76 = 5,770.16/x
  3. Step 3: Cross multiply
    12,019.28x = 18,016.76 × 5,770.16
  4. Step 4: Simplify right side
    12,019.28x = 103,959,587.88
  5. Step 5: Solve for x
    x = 103,959,587.88/12,019.28
  6. Step 6: Final answer
    x = 8,649.40

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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.