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Finding the Fourth Proportional to 11,394.62, 17,035.78 and 9,659.04

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Solution

The fourth proportional to 11,394.62, 17,035.78 and 9,659.04 is: 14,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.62 : 17,035.78 = 9,659.04 : x
  2. Step 2: Convert to fraction form
    11,394.62/17,035.78 = 9,659.04/x
  3. Step 3: Cross multiply
    11,394.62x = 17,035.78 × 9,659.04
  4. Step 4: Simplify right side
    11,394.62x = 164,549,280.45
  5. Step 5: Solve for x
    x = 164,549,280.45/11,394.62
  6. Step 6: Final answer
    x = 14,440.96

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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.