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Finding the Fourth Proportional to 27,653.28, 38,161.52 and 15,078

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Solution

The fourth proportional to 27,653.28, 38,161.52 and 15,078 is: 20,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.28 : 38,161.52 = 15,078 : x
  2. Step 2: Convert to fraction form
    27,653.28/38,161.52 = 15,078/x
  3. Step 3: Cross multiply
    27,653.28x = 38,161.52 × 15,078
  4. Step 4: Simplify right side
    27,653.28x = 575,399,398.56
  5. Step 5: Solve for x
    x = 575,399,398.56/27,653.28
  6. Step 6: Final answer
    x = 20,807.64

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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.