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Finding the Fourth Proportional to 19,785.78, 27,304.70 and 10,833.14

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Solution

The fourth proportional to 19,785.78, 27,304.70 and 10,833.14 is: 14,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.78 : 27,304.70 = 10,833.14 : x
  2. Step 2: Convert to fraction form
    19,785.78/27,304.70 = 10,833.14/x
  3. Step 3: Cross multiply
    19,785.78x = 27,304.70 × 10,833.14
  4. Step 4: Simplify right side
    19,785.78x = 295,795,637.76
  5. Step 5: Solve for x
    x = 295,795,637.76/19,785.78
  6. Step 6: Final answer
    x = 14,949.91

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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.