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Finding the Fourth Proportional to 22,034, 30,406.92 and 12,098

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Solution

The fourth proportional to 22,034, 30,406.92 and 12,098 is: 16,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 30,406.92 = 12,098 : x
  2. Step 2: Convert to fraction form
    22,034/30,406.92 = 12,098/x
  3. Step 3: Cross multiply
    22,034x = 30,406.92 × 12,098
  4. Step 4: Simplify right side
    22,034x = 367,862,918.16
  5. Step 5: Solve for x
    x = 367,862,918.16/22,034
  6. Step 6: Final answer
    x = 16,695.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.