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Finding the Fourth Proportional to 22,805.34, 34,201.53 and 14,472.78

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Solution

The fourth proportional to 22,805.34, 34,201.53 and 14,472.78 is: 21,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.34 : 34,201.53 = 14,472.78 : x
  2. Step 2: Convert to fraction form
    22,805.34/34,201.53 = 14,472.78/x
  3. Step 3: Cross multiply
    22,805.34x = 34,201.53 × 14,472.78
  4. Step 4: Simplify right side
    22,805.34x = 494,991,219.35
  5. Step 5: Solve for x
    x = 494,991,219.35/22,805.34
  6. Step 6: Final answer
    x = 21,705.06

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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.