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Finding the Fourth Proportional to 12,176.20, 18,264.28 and 4,385

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Solution

The fourth proportional to 12,176.20, 18,264.28 and 4,385 is: 6,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.20 : 18,264.28 = 4,385 : x
  2. Step 2: Convert to fraction form
    12,176.20/18,264.28 = 4,385/x
  3. Step 3: Cross multiply
    12,176.20x = 18,264.28 × 4,385
  4. Step 4: Simplify right side
    12,176.20x = 80,088,867.80
  5. Step 5: Solve for x
    x = 80,088,867.80/12,176.20
  6. Step 6: Final answer
    x = 6,577.49

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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.