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Finding the Fourth Proportional to 18,282.30, 27,406.86 and 6,587.28

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Solution

The fourth proportional to 18,282.30, 27,406.86 and 6,587.28 is: 9,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.30 : 27,406.86 = 6,587.28 : x
  2. Step 2: Convert to fraction form
    18,282.30/27,406.86 = 6,587.28/x
  3. Step 3: Cross multiply
    18,282.30x = 27,406.86 × 6,587.28
  4. Step 4: Simplify right side
    18,282.30x = 180,536,660.74
  5. Step 5: Solve for x
    x = 180,536,660.74/18,282.30
  6. Step 6: Final answer
    x = 9,874.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.