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Finding the Fourth Proportional to 22,186.31, 30,616.95 and 12,114.75

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Solution

The fourth proportional to 22,186.31, 30,616.95 and 12,114.75 is: 16,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.31 : 30,616.95 = 12,114.75 : x
  2. Step 2: Convert to fraction form
    22,186.31/30,616.95 = 12,114.75/x
  3. Step 3: Cross multiply
    22,186.31x = 30,616.95 × 12,114.75
  4. Step 4: Simplify right side
    22,186.31x = 370,916,695.01
  5. Step 5: Solve for x
    x = 370,916,695.01/22,186.31
  6. Step 6: Final answer
    x = 16,718.27

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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.