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Finding the Fourth Proportional to 18,329.16, 27,480.27 and 5,842

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Solution

The fourth proportional to 18,329.16, 27,480.27 and 5,842 is: 8,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,329.16 : 27,480.27 = 5,842 : x
  2. Step 2: Convert to fraction form
    18,329.16/27,480.27 = 5,842/x
  3. Step 3: Cross multiply
    18,329.16x = 27,480.27 × 5,842
  4. Step 4: Simplify right side
    18,329.16x = 160,539,737.34
  5. Step 5: Solve for x
    x = 160,539,737.34/18,329.16
  6. Step 6: Final answer
    x = 8,758.71

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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.