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Finding the Fourth Proportional to 27,715.88, 41,573.82 and 10,178.12

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Solution

The fourth proportional to 27,715.88, 41,573.82 and 10,178.12 is: 15,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715.88 : 41,573.82 = 10,178.12 : x
  2. Step 2: Convert to fraction form
    27,715.88/41,573.82 = 10,178.12/x
  3. Step 3: Cross multiply
    27,715.88x = 41,573.82 × 10,178.12
  4. Step 4: Simplify right side
    27,715.88x = 423,143,328.82
  5. Step 5: Solve for x
    x = 423,143,328.82/27,715.88
  6. Step 6: Final answer
    x = 15,267.18

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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.