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Finding the Fourth Proportional to 19,853.72, 27,398.13 and 11,470.22

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Solution

The fourth proportional to 19,853.72, 27,398.13 and 11,470.22 is: 15,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.72 : 27,398.13 = 11,470.22 : x
  2. Step 2: Convert to fraction form
    19,853.72/27,398.13 = 11,470.22/x
  3. Step 3: Cross multiply
    19,853.72x = 27,398.13 × 11,470.22
  4. Step 4: Simplify right side
    19,853.72x = 314,262,565.95
  5. Step 5: Solve for x
    x = 314,262,565.95/19,853.72
  6. Step 6: Final answer
    x = 15,828.90

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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.