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Finding the Fourth Proportional to 24,850.16, 34,286.40 and 17,288

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Solution

The fourth proportional to 24,850.16, 34,286.40 and 17,288 is: 23,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.16 : 34,286.40 = 17,288 : x
  2. Step 2: Convert to fraction form
    24,850.16/34,286.40 = 17,288/x
  3. Step 3: Cross multiply
    24,850.16x = 34,286.40 × 17,288
  4. Step 4: Simplify right side
    24,850.16x = 592,743,283.20
  5. Step 5: Solve for x
    x = 592,743,283.20/24,850.16
  6. Step 6: Final answer
    x = 23,852.69

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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.