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Finding the Fourth Proportional to 14,422.14, 19,902.78 and 8,454.60

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Solution

The fourth proportional to 14,422.14, 19,902.78 and 8,454.60 is: 11,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.14 : 19,902.78 = 8,454.60 : x
  2. Step 2: Convert to fraction form
    14,422.14/19,902.78 = 8,454.60/x
  3. Step 3: Cross multiply
    14,422.14x = 19,902.78 × 8,454.60
  4. Step 4: Simplify right side
    14,422.14x = 168,270,043.79
  5. Step 5: Solve for x
    x = 168,270,043.79/14,422.14
  6. Step 6: Final answer
    x = 11,667.48

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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.