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Finding the Fourth Proportional to 27,905.20, 41,864.55 and 8,184.40

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Solution

The fourth proportional to 27,905.20, 41,864.55 and 8,184.40 is: 12,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905.20 : 41,864.55 = 8,184.40 : x
  2. Step 2: Convert to fraction form
    27,905.20/41,864.55 = 8,184.40/x
  3. Step 3: Cross multiply
    27,905.20x = 41,864.55 × 8,184.40
  4. Step 4: Simplify right side
    27,905.20x = 342,636,223.02
  5. Step 5: Solve for x
    x = 342,636,223.02/27,905.20
  6. Step 6: Final answer
    x = 12,278.58

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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.