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Finding the Fourth Proportional to 22,684.16, 34,022.44 and 16,090.32

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Solution

The fourth proportional to 22,684.16, 34,022.44 and 16,090.32 is: 24,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.16 : 34,022.44 = 16,090.32 : x
  2. Step 2: Convert to fraction form
    22,684.16/34,022.44 = 16,090.32/x
  3. Step 3: Cross multiply
    22,684.16x = 34,022.44 × 16,090.32
  4. Step 4: Simplify right side
    22,684.16x = 547,431,946.78
  5. Step 5: Solve for x
    x = 547,431,946.78/22,684.16
  6. Step 6: Final answer
    x = 24,132.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.