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Finding the Fourth Proportional to 22,101.75, 30,500.46 and 12,165.75

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Solution

The fourth proportional to 22,101.75, 30,500.46 and 12,165.75 is: 16,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.75 : 30,500.46 = 12,165.75 : x
  2. Step 2: Convert to fraction form
    22,101.75/30,500.46 = 12,165.75/x
  3. Step 3: Cross multiply
    22,101.75x = 30,500.46 × 12,165.75
  4. Step 4: Simplify right side
    22,101.75x = 371,060,971.25
  5. Step 5: Solve for x
    x = 371,060,971.25/22,101.75
  6. Step 6: Final answer
    x = 16,788.76

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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.