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Finding the Fourth Proportional to 27,415.76, 41,125.79 and 8,696.87

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Solution

The fourth proportional to 27,415.76, 41,125.79 and 8,696.87 is: 13,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.76 : 41,125.79 = 8,696.87 : x
  2. Step 2: Convert to fraction form
    27,415.76/41,125.79 = 8,696.87/x
  3. Step 3: Cross multiply
    27,415.76x = 41,125.79 × 8,696.87
  4. Step 4: Simplify right side
    27,415.76x = 357,665,443.65
  5. Step 5: Solve for x
    x = 357,665,443.65/27,415.76
  6. Step 6: Final answer
    x = 13,045.98

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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.