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Finding the Fourth Proportional to 13,928.75, 20,873.48 and 7,691.57

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Solution

The fourth proportional to 13,928.75, 20,873.48 and 7,691.57 is: 11,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.75 : 20,873.48 = 7,691.57 : x
  2. Step 2: Convert to fraction form
    13,928.75/20,873.48 = 7,691.57/x
  3. Step 3: Cross multiply
    13,928.75x = 20,873.48 × 7,691.57
  4. Step 4: Simplify right side
    13,928.75x = 160,549,689.74
  5. Step 5: Solve for x
    x = 160,549,689.74/13,928.75
  6. Step 6: Final answer
    x = 11,526.50

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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.