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Finding the Fourth Proportional to 22,357.35, 33,534.09 and 7,565.94

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Solution

The fourth proportional to 22,357.35, 33,534.09 and 7,565.94 is: 11,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.35 : 33,534.09 = 7,565.94 : x
  2. Step 2: Convert to fraction form
    22,357.35/33,534.09 = 7,565.94/x
  3. Step 3: Cross multiply
    22,357.35x = 33,534.09 × 7,565.94
  4. Step 4: Simplify right side
    22,357.35x = 253,716,912.89
  5. Step 5: Solve for x
    x = 253,716,912.89/22,357.35
  6. Step 6: Final answer
    x = 11,348.26

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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.