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Finding the Fourth Proportional to 13,680.75, 20,521.13 and 3,292.50

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Solution

The fourth proportional to 13,680.75, 20,521.13 and 3,292.50 is: 4,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.75 : 20,521.13 = 3,292.50 : x
  2. Step 2: Convert to fraction form
    13,680.75/20,521.13 = 3,292.50/x
  3. Step 3: Cross multiply
    13,680.75x = 20,521.13 × 3,292.50
  4. Step 4: Simplify right side
    13,680.75x = 67,565,804.06
  5. Step 5: Solve for x
    x = 67,565,804.06/13,680.75
  6. Step 6: Final answer
    x = 4,938.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.