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Finding the Fourth Proportional to 27,758.72, 41,631.16 and 10,895.16

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Solution

The fourth proportional to 27,758.72, 41,631.16 and 10,895.16 is: 16,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.72 : 41,631.16 = 10,895.16 : x
  2. Step 2: Convert to fraction form
    27,758.72/41,631.16 = 10,895.16/x
  3. Step 3: Cross multiply
    27,758.72x = 41,631.16 × 10,895.16
  4. Step 4: Simplify right side
    27,758.72x = 453,578,149.19
  5. Step 5: Solve for x
    x = 453,578,149.19/27,758.72
  6. Step 6: Final answer
    x = 16,340.02

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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.