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Finding the Fourth Proportional to 27,606.28, 38,097.36 and 15,031

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Solution

The fourth proportional to 27,606.28, 38,097.36 and 15,031 is: 20,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.28 : 38,097.36 = 15,031 : x
  2. Step 2: Convert to fraction form
    27,606.28/38,097.36 = 15,031/x
  3. Step 3: Cross multiply
    27,606.28x = 38,097.36 × 15,031
  4. Step 4: Simplify right side
    27,606.28x = 572,641,418.16
  5. Step 5: Solve for x
    x = 572,641,418.16/27,606.28
  6. Step 6: Final answer
    x = 20,743.16

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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.