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Finding the Fourth Proportional to 27,496.65, 41,245.13 and 9,966.02

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Solution

The fourth proportional to 27,496.65, 41,245.13 and 9,966.02 is: 14,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.65 : 41,245.13 = 9,966.02 : x
  2. Step 2: Convert to fraction form
    27,496.65/41,245.13 = 9,966.02/x
  3. Step 3: Cross multiply
    27,496.65x = 41,245.13 × 9,966.02
  4. Step 4: Simplify right side
    27,496.65x = 411,049,534.43
  5. Step 5: Solve for x
    x = 411,049,534.43/27,496.65
  6. Step 6: Final answer
    x = 14,949.08

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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.