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Finding the Fourth Proportional to 12,143.64, 18,219.80 and 4,247.32

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Solution

The fourth proportional to 12,143.64, 18,219.80 and 4,247.32 is: 6,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.64 : 18,219.80 = 4,247.32 : x
  2. Step 2: Convert to fraction form
    12,143.64/18,219.80 = 4,247.32/x
  3. Step 3: Cross multiply
    12,143.64x = 18,219.80 × 4,247.32
  4. Step 4: Simplify right side
    12,143.64x = 77,385,320.94
  5. Step 5: Solve for x
    x = 77,385,320.94/12,143.64
  6. Step 6: Final answer
    x = 6,372.50

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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.