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Finding the Fourth Proportional to 21,169.18, 31,768.36 and 9,495.46

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Solution

The fourth proportional to 21,169.18, 31,768.36 and 9,495.46 is: 14,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.18 : 31,768.36 = 9,495.46 : x
  2. Step 2: Convert to fraction form
    21,169.18/31,768.36 = 9,495.46/x
  3. Step 3: Cross multiply
    21,169.18x = 31,768.36 × 9,495.46
  4. Step 4: Simplify right side
    21,169.18x = 301,655,191.65
  5. Step 5: Solve for x
    x = 301,655,191.65/21,169.18
  6. Step 6: Final answer
    x = 14,249.73

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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.