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Finding the Fourth Proportional to 22,665.10, 33,961.20 and 14,330.20

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Solution

The fourth proportional to 22,665.10, 33,961.20 and 14,330.20 is: 21,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.10 : 33,961.20 = 14,330.20 : x
  2. Step 2: Convert to fraction form
    22,665.10/33,961.20 = 14,330.20/x
  3. Step 3: Cross multiply
    22,665.10x = 33,961.20 × 14,330.20
  4. Step 4: Simplify right side
    22,665.10x = 486,670,788.24
  5. Step 5: Solve for x
    x = 486,670,788.24/22,665.10
  6. Step 6: Final answer
    x = 21,472.25

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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.