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Finding the Fourth Proportional to 30,718.31, 42,382.78 and 17,288.78

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Solution

The fourth proportional to 30,718.31, 42,382.78 and 17,288.78 is: 23,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.31 : 42,382.78 = 17,288.78 : x
  2. Step 2: Convert to fraction form
    30,718.31/42,382.78 = 17,288.78/x
  3. Step 3: Cross multiply
    30,718.31x = 42,382.78 × 17,288.78
  4. Step 4: Simplify right side
    30,718.31x = 732,746,304.07
  5. Step 5: Solve for x
    x = 732,746,304.07/30,718.31
  6. Step 6: Final answer
    x = 23,853.73

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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.