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Finding the Fourth Proportional to 11,865.16, 17,768.58 and 9,508.60

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Solution

The fourth proportional to 11,865.16, 17,768.58 and 9,508.60 is: 14,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.16 : 17,768.58 = 9,508.60 : x
  2. Step 2: Convert to fraction form
    11,865.16/17,768.58 = 9,508.60/x
  3. Step 3: Cross multiply
    11,865.16x = 17,768.58 × 9,508.60
  4. Step 4: Simplify right side
    11,865.16x = 168,954,319.79
  5. Step 5: Solve for x
    x = 168,954,319.79/11,865.16
  6. Step 6: Final answer
    x = 14,239.53

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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.