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Finding the Fourth Proportional to 18,156.24, 27,211.68 and 10,258.20

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Solution

The fourth proportional to 18,156.24, 27,211.68 and 10,258.20 is: 15,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,156.24 : 27,211.68 = 10,258.20 : x
  2. Step 2: Convert to fraction form
    18,156.24/27,211.68 = 10,258.20/x
  3. Step 3: Cross multiply
    18,156.24x = 27,211.68 × 10,258.20
  4. Step 4: Simplify right side
    18,156.24x = 279,142,855.78
  5. Step 5: Solve for x
    x = 279,142,855.78/18,156.24
  6. Step 6: Final answer
    x = 15,374.49

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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.