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Finding the Fourth Proportional to 12,085.38, 16,666.34 and 9,252.88

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Solution

The fourth proportional to 12,085.38, 16,666.34 and 9,252.88 is: 12,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.38 : 16,666.34 = 9,252.88 : x
  2. Step 2: Convert to fraction form
    12,085.38/16,666.34 = 9,252.88/x
  3. Step 3: Cross multiply
    12,085.38x = 16,666.34 × 9,252.88
  4. Step 4: Simplify right side
    12,085.38x = 154,211,556.13
  5. Step 5: Solve for x
    x = 154,211,556.13/12,085.38
  6. Step 6: Final answer
    x = 12,760.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.