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Finding the Fourth Proportional to 14,087.25, 21,122.97 and 9,649.93

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Solution

The fourth proportional to 14,087.25, 21,122.97 and 9,649.93 is: 14,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.25 : 21,122.97 = 9,649.93 : x
  2. Step 2: Convert to fraction form
    14,087.25/21,122.97 = 9,649.93/x
  3. Step 3: Cross multiply
    14,087.25x = 21,122.97 × 9,649.93
  4. Step 4: Simplify right side
    14,087.25x = 203,835,181.89
  5. Step 5: Solve for x
    x = 203,835,181.89/14,087.25
  6. Step 6: Final answer
    x = 14,469.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.