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Finding the Fourth Proportional to 22,757.02, 34,114.50 and 14,411.77

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Solution

The fourth proportional to 22,757.02, 34,114.50 and 14,411.77 is: 21,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.02 : 34,114.50 = 14,411.77 : x
  2. Step 2: Convert to fraction form
    22,757.02/34,114.50 = 14,411.77/x
  3. Step 3: Cross multiply
    22,757.02x = 34,114.50 × 14,411.77
  4. Step 4: Simplify right side
    22,757.02x = 491,650,327.67
  5. Step 5: Solve for x
    x = 491,650,327.67/22,757.02
  6. Step 6: Final answer
    x = 21,604.34

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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.