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Finding the Fourth Proportional to 12,170.34, 18,248.04 and 4,778.28

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Solution

The fourth proportional to 12,170.34, 18,248.04 and 4,778.28 is: 7,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.34 : 18,248.04 = 4,778.28 : x
  2. Step 2: Convert to fraction form
    12,170.34/18,248.04 = 4,778.28/x
  3. Step 3: Cross multiply
    12,170.34x = 18,248.04 × 4,778.28
  4. Step 4: Simplify right side
    12,170.34x = 87,194,244.57
  5. Step 5: Solve for x
    x = 87,194,244.57/12,170.34
  6. Step 6: Final answer
    x = 7,164.49

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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.