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Finding the Fourth Proportional to 23,262.14, 34,904.75 and 9,221.87

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Solution

The fourth proportional to 23,262.14, 34,904.75 and 9,221.87 is: 13,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,262.14 : 34,904.75 = 9,221.87 : x
  2. Step 2: Convert to fraction form
    23,262.14/34,904.75 = 9,221.87/x
  3. Step 3: Cross multiply
    23,262.14x = 34,904.75 × 9,221.87
  4. Step 4: Simplify right side
    23,262.14x = 321,887,066.88
  5. Step 5: Solve for x
    x = 321,887,066.88/23,262.14
  6. Step 6: Final answer
    x = 13,837.38

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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.