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Finding the Fourth Proportional to 22,101, 30,499.86 and 12,165

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Solution

The fourth proportional to 22,101, 30,499.86 and 12,165 is: 16,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101 : 30,499.86 = 12,165 : x
  2. Step 2: Convert to fraction form
    22,101/30,499.86 = 12,165/x
  3. Step 3: Cross multiply
    22,101x = 30,499.86 × 12,165
  4. Step 4: Simplify right side
    22,101x = 371,030,796.90
  5. Step 5: Solve for x
    x = 371,030,796.90/22,101
  6. Step 6: Final answer
    x = 16,787.96

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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.