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Finding the Fourth Proportional to 22,657.13, 33,992.91 and 9,505.97

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Solution

The fourth proportional to 22,657.13, 33,992.91 and 9,505.97 is: 14,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.13 : 33,992.91 = 9,505.97 : x
  2. Step 2: Convert to fraction form
    22,657.13/33,992.91 = 9,505.97/x
  3. Step 3: Cross multiply
    22,657.13x = 33,992.91 × 9,505.97
  4. Step 4: Simplify right side
    22,657.13x = 323,135,412.71
  5. Step 5: Solve for x
    x = 323,135,412.71/22,657.13
  6. Step 6: Final answer
    x = 14,261.98

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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.