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Finding the Fourth Proportional to 27,847.16, 41,774.72 and 9,123.20

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Solution

The fourth proportional to 27,847.16, 41,774.72 and 9,123.20 is: 13,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.16 : 41,774.72 = 9,123.20 : x
  2. Step 2: Convert to fraction form
    27,847.16/41,774.72 = 9,123.20/x
  3. Step 3: Cross multiply
    27,847.16x = 41,774.72 × 9,123.20
  4. Step 4: Simplify right side
    27,847.16x = 381,119,078.99
  5. Step 5: Solve for x
    x = 381,119,078.99/27,847.16
  6. Step 6: Final answer
    x = 13,686.10

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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.