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Finding the Fourth Proportional to 19,859.31, 27,406.04 and 10,907

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Solution

The fourth proportional to 19,859.31, 27,406.04 and 10,907 is: 15,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.31 : 27,406.04 = 10,907 : x
  2. Step 2: Convert to fraction form
    19,859.31/27,406.04 = 10,907/x
  3. Step 3: Cross multiply
    19,859.31x = 27,406.04 × 10,907
  4. Step 4: Simplify right side
    19,859.31x = 298,917,678.28
  5. Step 5: Solve for x
    x = 298,917,678.28/19,859.31
  6. Step 6: Final answer
    x = 15,051.77

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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.