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Finding the Fourth Proportional to 11,793.60, 17,664.48 and 9,849.60

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Solution

The fourth proportional to 11,793.60, 17,664.48 and 9,849.60 is: 14,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.60 : 17,664.48 = 9,849.60 : x
  2. Step 2: Convert to fraction form
    11,793.60/17,664.48 = 9,849.60/x
  3. Step 3: Cross multiply
    11,793.60x = 17,664.48 × 9,849.60
  4. Step 4: Simplify right side
    11,793.60x = 173,988,062.21
  5. Step 5: Solve for x
    x = 173,988,062.21/11,793.60
  6. Step 6: Final answer
    x = 14,752.75

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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.