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Finding the Fourth Proportional to 20,138.16, 27,788.76 and 18,652.08

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Solution

The fourth proportional to 20,138.16, 27,788.76 and 18,652.08 is: 25,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.16 : 27,788.76 = 18,652.08 : x
  2. Step 2: Convert to fraction form
    20,138.16/27,788.76 = 18,652.08/x
  3. Step 3: Cross multiply
    20,138.16x = 27,788.76 × 18,652.08
  4. Step 4: Simplify right side
    20,138.16x = 518,318,174.62
  5. Step 5: Solve for x
    x = 518,318,174.62/20,138.16
  6. Step 6: Final answer
    x = 25,738.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.