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Finding the Fourth Proportional to 16,024.77, 22,118.49 and 9,219.57

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Solution

The fourth proportional to 16,024.77, 22,118.49 and 9,219.57 is: 12,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.77 : 22,118.49 = 9,219.57 : x
  2. Step 2: Convert to fraction form
    16,024.77/22,118.49 = 9,219.57/x
  3. Step 3: Cross multiply
    16,024.77x = 22,118.49 × 9,219.57
  4. Step 4: Simplify right side
    16,024.77x = 203,922,810.16
  5. Step 5: Solve for x
    x = 203,922,810.16/16,024.77
  6. Step 6: Final answer
    x = 12,725.48

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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.