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Finding the Fourth Proportional to 22,232.98, 30,682.29 and 12,162.15

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Solution

The fourth proportional to 22,232.98, 30,682.29 and 12,162.15 is: 16,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.98 : 30,682.29 = 12,162.15 : x
  2. Step 2: Convert to fraction form
    22,232.98/30,682.29 = 12,162.15/x
  3. Step 3: Cross multiply
    22,232.98x = 30,682.29 × 12,162.15
  4. Step 4: Simplify right side
    22,232.98x = 373,162,658.93
  5. Step 5: Solve for x
    x = 373,162,658.93/22,232.98
  6. Step 6: Final answer
    x = 16,784.19

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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.