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Finding the Fourth Proportional to 22,113, 30,516.12 and 12,177

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Solution

The fourth proportional to 22,113, 30,516.12 and 12,177 is: 16,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113 : 30,516.12 = 12,177 : x
  2. Step 2: Convert to fraction form
    22,113/30,516.12 = 12,177/x
  3. Step 3: Cross multiply
    22,113x = 30,516.12 × 12,177
  4. Step 4: Simplify right side
    22,113x = 371,594,793.24
  5. Step 5: Solve for x
    x = 371,594,793.24/22,113
  6. Step 6: Final answer
    x = 16,804.36

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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.