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Finding the Fourth Proportional to 22,314.80, 33,471.32 and 7,523.38

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Solution

The fourth proportional to 22,314.80, 33,471.32 and 7,523.38 is: 11,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.80 : 33,471.32 = 7,523.38 : x
  2. Step 2: Convert to fraction form
    22,314.80/33,471.32 = 7,523.38/x
  3. Step 3: Cross multiply
    22,314.80x = 33,471.32 × 7,523.38
  4. Step 4: Simplify right side
    22,314.80x = 251,817,459.46
  5. Step 5: Solve for x
    x = 251,817,459.46/22,314.80
  6. Step 6: Final answer
    x = 11,284.77

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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.