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Finding the Fourth Proportional to 13,460.87, 20,193.65 and 4,575.27

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Solution

The fourth proportional to 13,460.87, 20,193.65 and 4,575.27 is: 6,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.87 : 20,193.65 = 4,575.27 : x
  2. Step 2: Convert to fraction form
    13,460.87/20,193.65 = 4,575.27/x
  3. Step 3: Cross multiply
    13,460.87x = 20,193.65 × 4,575.27
  4. Step 4: Simplify right side
    13,460.87x = 92,391,378.16
  5. Step 5: Solve for x
    x = 92,391,378.16/13,460.87
  6. Step 6: Final answer
    x = 6,863.70

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