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Finding the Fourth Proportional to 12,154.28, 18,222.28 and 5,142.50

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Solution

The fourth proportional to 12,154.28, 18,222.28 and 5,142.50 is: 7,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.28 : 18,222.28 = 5,142.50 : x
  2. Step 2: Convert to fraction form
    12,154.28/18,222.28 = 5,142.50/x
  3. Step 3: Cross multiply
    12,154.28x = 18,222.28 × 5,142.50
  4. Step 4: Simplify right side
    12,154.28x = 93,707,958.08
  5. Step 5: Solve for x
    x = 93,707,958.08/12,154.28
  6. Step 6: Final answer
    x = 7,709.88

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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.