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Finding the Fourth Proportional to 24,938.75, 34,415.52 and 13,760.75

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Solution

The fourth proportional to 24,938.75, 34,415.52 and 13,760.75 is: 18,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.75 : 34,415.52 = 13,760.75 : x
  2. Step 2: Convert to fraction form
    24,938.75/34,415.52 = 13,760.75/x
  3. Step 3: Cross multiply
    24,938.75x = 34,415.52 × 13,760.75
  4. Step 4: Simplify right side
    24,938.75x = 473,583,366.84
  5. Step 5: Solve for x
    x = 473,583,366.84/24,938.75
  6. Step 6: Final answer
    x = 18,989.86

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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.