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Finding the Fourth Proportional to 15,668.10, 23,523.01 and 9,099

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Solution

The fourth proportional to 15,668.10, 23,523.01 and 9,099 is: 13,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668.10 : 23,523.01 = 9,099 : x
  2. Step 2: Convert to fraction form
    15,668.10/23,523.01 = 9,099/x
  3. Step 3: Cross multiply
    15,668.10x = 23,523.01 × 9,099
  4. Step 4: Simplify right side
    15,668.10x = 214,035,845.24
  5. Step 5: Solve for x
    x = 214,035,845.24/15,668.10
  6. Step 6: Final answer
    x = 13,660.61

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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.