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Finding the Fourth Proportional to 19,708.46, 29,537.02 and 8,008

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Solution

The fourth proportional to 19,708.46, 29,537.02 and 8,008 is: 12,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.46 : 29,537.02 = 8,008 : x
  2. Step 2: Convert to fraction form
    19,708.46/29,537.02 = 8,008/x
  3. Step 3: Cross multiply
    19,708.46x = 29,537.02 × 8,008
  4. Step 4: Simplify right side
    19,708.46x = 236,532,456.16
  5. Step 5: Solve for x
    x = 236,532,456.16/19,708.46
  6. Step 6: Final answer
    x = 12,001.57

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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.