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Finding the Fourth Proportional to 12,454.14, 17,170.16 and 10,321.68

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Solution

The fourth proportional to 12,454.14, 17,170.16 and 10,321.68 is: 14,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.14 : 17,170.16 = 10,321.68 : x
  2. Step 2: Convert to fraction form
    12,454.14/17,170.16 = 10,321.68/x
  3. Step 3: Cross multiply
    12,454.14x = 17,170.16 × 10,321.68
  4. Step 4: Simplify right side
    12,454.14x = 177,224,897.07
  5. Step 5: Solve for x
    x = 177,224,897.07/12,454.14
  6. Step 6: Final answer
    x = 14,230.20

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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.