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Finding the Fourth Proportional to 22,105.81, 30,507.60 and 12,416.05

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Solution

The fourth proportional to 22,105.81, 30,507.60 and 12,416.05 is: 17,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.81 : 30,507.60 = 12,416.05 : x
  2. Step 2: Convert to fraction form
    22,105.81/30,507.60 = 12,416.05/x
  3. Step 3: Cross multiply
    22,105.81x = 30,507.60 × 12,416.05
  4. Step 4: Simplify right side
    22,105.81x = 378,783,886.98
  5. Step 5: Solve for x
    x = 378,783,886.98/22,105.81
  6. Step 6: Final answer
    x = 17,135.04

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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.