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Finding the Fourth Proportional to 22,522.96, 33,772.98 and 7,524.68

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Solution

The fourth proportional to 22,522.96, 33,772.98 and 7,524.68 is: 11,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.96 : 33,772.98 = 7,524.68 : x
  2. Step 2: Convert to fraction form
    22,522.96/33,772.98 = 7,524.68/x
  3. Step 3: Cross multiply
    22,522.96x = 33,772.98 × 7,524.68
  4. Step 4: Simplify right side
    22,522.96x = 254,130,867.15
  5. Step 5: Solve for x
    x = 254,130,867.15/22,522.96
  6. Step 6: Final answer
    x = 11,283.19

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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.