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Finding the Fourth Proportional to 13,454.08, 20,166.54 and 6,514

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Solution

The fourth proportional to 13,454.08, 20,166.54 and 6,514 is: 9,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.08 : 20,166.54 = 6,514 : x
  2. Step 2: Convert to fraction form
    13,454.08/20,166.54 = 6,514/x
  3. Step 3: Cross multiply
    13,454.08x = 20,166.54 × 6,514
  4. Step 4: Simplify right side
    13,454.08x = 131,364,841.56
  5. Step 5: Solve for x
    x = 131,364,841.56/13,454.08
  6. Step 6: Final answer
    x = 9,763.94

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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.