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Finding the Fourth Proportional to 19,853.71, 27,398.15 and 11,470.21

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Solution

The fourth proportional to 19,853.71, 27,398.15 and 11,470.21 is: 15,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.71 : 27,398.15 = 11,470.21 : x
  2. Step 2: Convert to fraction form
    19,853.71/27,398.15 = 11,470.21/x
  3. Step 3: Cross multiply
    19,853.71x = 27,398.15 × 11,470.21
  4. Step 4: Simplify right side
    19,853.71x = 314,262,534.11
  5. Step 5: Solve for x
    x = 314,262,534.11/19,853.71
  6. Step 6: Final answer
    x = 15,828.91

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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.