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Finding the Fourth Proportional to 18,465.42, 27,695.82 and 5,139.42

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Solution

The fourth proportional to 18,465.42, 27,695.82 and 5,139.42 is: 7,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.42 : 27,695.82 = 5,139.42 : x
  2. Step 2: Convert to fraction form
    18,465.42/27,695.82 = 5,139.42/x
  3. Step 3: Cross multiply
    18,465.42x = 27,695.82 × 5,139.42
  4. Step 4: Simplify right side
    18,465.42x = 142,340,470.50
  5. Step 5: Solve for x
    x = 142,340,470.50/18,465.42
  6. Step 6: Final answer
    x = 7,708.49

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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.