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Finding the Fourth Proportional to 16,577.46, 22,876.83 and 9,024.21

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Solution

The fourth proportional to 16,577.46, 22,876.83 and 9,024.21 is: 12,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.46 : 22,876.83 = 9,024.21 : x
  2. Step 2: Convert to fraction form
    16,577.46/22,876.83 = 9,024.21/x
  3. Step 3: Cross multiply
    16,577.46x = 22,876.83 × 9,024.21
  4. Step 4: Simplify right side
    16,577.46x = 206,445,318.05
  5. Step 5: Solve for x
    x = 206,445,318.05/16,577.46
  6. Step 6: Final answer
    x = 12,453.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.