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Finding the Fourth Proportional to 18,143.42, 27,223.50 and 8,285.72

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Solution

The fourth proportional to 18,143.42, 27,223.50 and 8,285.72 is: 12,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,143.42 : 27,223.50 = 8,285.72 : x
  2. Step 2: Convert to fraction form
    18,143.42/27,223.50 = 8,285.72/x
  3. Step 3: Cross multiply
    18,143.42x = 27,223.50 × 8,285.72
  4. Step 4: Simplify right side
    18,143.42x = 225,566,298.42
  5. Step 5: Solve for x
    x = 225,566,298.42/18,143.42
  6. Step 6: Final answer
    x = 12,432.40

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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.