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Finding the Fourth Proportional to 18,294, 27,444.77 and 5,813.76

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Solution

The fourth proportional to 18,294, 27,444.77 and 5,813.76 is: 8,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294 : 27,444.77 = 5,813.76 : x
  2. Step 2: Convert to fraction form
    18,294/27,444.77 = 5,813.76/x
  3. Step 3: Cross multiply
    18,294x = 27,444.77 × 5,813.76
  4. Step 4: Simplify right side
    18,294x = 159,557,306.04
  5. Step 5: Solve for x
    x = 159,557,306.04/18,294
  6. Step 6: Final answer
    x = 8,721.84

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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.