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Finding the Fourth Proportional to 30,718.56, 42,395.40 and 17,290.40

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Solution

The fourth proportional to 30,718.56, 42,395.40 and 17,290.40 is: 23,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.56 : 42,395.40 = 17,290.40 : x
  2. Step 2: Convert to fraction form
    30,718.56/42,395.40 = 17,290.40/x
  3. Step 3: Cross multiply
    30,718.56x = 42,395.40 × 17,290.40
  4. Step 4: Simplify right side
    30,718.56x = 733,033,424.16
  5. Step 5: Solve for x
    x = 733,033,424.16/30,718.56
  6. Step 6: Final answer
    x = 23,862.88

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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.