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Finding the Fourth Proportional to 19,305.68, 26,641.32 and 10,922

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Solution

The fourth proportional to 19,305.68, 26,641.32 and 10,922 is: 15,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305.68 : 26,641.32 = 10,922 : x
  2. Step 2: Convert to fraction form
    19,305.68/26,641.32 = 10,922/x
  3. Step 3: Cross multiply
    19,305.68x = 26,641.32 × 10,922
  4. Step 4: Simplify right side
    19,305.68x = 290,976,497.04
  5. Step 5: Solve for x
    x = 290,976,497.04/19,305.68
  6. Step 6: Final answer
    x = 15,072.07

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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.