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Finding the Fourth Proportional to 27,013.30, 40,507.80 and 10,367.80

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Solution

The fourth proportional to 27,013.30, 40,507.80 and 10,367.80 is: 15,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.30 : 40,507.80 = 10,367.80 : x
  2. Step 2: Convert to fraction form
    27,013.30/40,507.80 = 10,367.80/x
  3. Step 3: Cross multiply
    27,013.30x = 40,507.80 × 10,367.80
  4. Step 4: Simplify right side
    27,013.30x = 419,976,768.84
  5. Step 5: Solve for x
    x = 419,976,768.84/27,013.30
  6. Step 6: Final answer
    x = 15,547.04

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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.