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Finding the Fourth Proportional to 22,043.10, 30,419.70 and 11,971.64

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Solution

The fourth proportional to 22,043.10, 30,419.70 and 11,971.64 is: 16,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,043.10 : 30,419.70 = 11,971.64 : x
  2. Step 2: Convert to fraction form
    22,043.10/30,419.70 = 11,971.64/x
  3. Step 3: Cross multiply
    22,043.10x = 30,419.70 × 11,971.64
  4. Step 4: Simplify right side
    22,043.10x = 364,173,545.21
  5. Step 5: Solve for x
    x = 364,173,545.21/22,043.10
  6. Step 6: Final answer
    x = 16,520.98

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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.