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Finding the Fourth Proportional to 27,142.65, 37,456.82 and 15,206.07

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Solution

The fourth proportional to 27,142.65, 37,456.82 and 15,206.07 is: 20,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.65 : 37,456.82 = 15,206.07 : x
  2. Step 2: Convert to fraction form
    27,142.65/37,456.82 = 15,206.07/x
  3. Step 3: Cross multiply
    27,142.65x = 37,456.82 × 15,206.07
  4. Step 4: Simplify right side
    27,142.65x = 569,571,026.90
  5. Step 5: Solve for x
    x = 569,571,026.90/27,142.65
  6. Step 6: Final answer
    x = 20,984.36

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