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Finding the Fourth Proportional to 30,812.24, 42,517.24 and 17,382.71

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Solution

The fourth proportional to 30,812.24, 42,517.24 and 17,382.71 is: 23,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.24 : 42,517.24 = 17,382.71 : x
  2. Step 2: Convert to fraction form
    30,812.24/42,517.24 = 17,382.71/x
  3. Step 3: Cross multiply
    30,812.24x = 42,517.24 × 17,382.71
  4. Step 4: Simplify right side
    30,812.24x = 739,064,915.76
  5. Step 5: Solve for x
    x = 739,064,915.76/30,812.24
  6. Step 6: Final answer
    x = 23,986.08

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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.