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Finding the Fourth Proportional to 27,876.96, 38,470.49 and 15,130.26

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Solution

The fourth proportional to 27,876.96, 38,470.49 and 15,130.26 is: 20,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.96 : 38,470.49 = 15,130.26 : x
  2. Step 2: Convert to fraction form
    27,876.96/38,470.49 = 15,130.26/x
  3. Step 3: Cross multiply
    27,876.96x = 38,470.49 × 15,130.26
  4. Step 4: Simplify right side
    27,876.96x = 582,068,582.22
  5. Step 5: Solve for x
    x = 582,068,582.22/27,876.96
  6. Step 6: Final answer
    x = 20,879.92

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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.