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Finding the Fourth Proportional to 22,102.94, 30,502.81 and 12,031.75

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Solution

The fourth proportional to 22,102.94, 30,502.81 and 12,031.75 is: 16,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.94 : 30,502.81 = 12,031.75 : x
  2. Step 2: Convert to fraction form
    22,102.94/30,502.81 = 12,031.75/x
  3. Step 3: Cross multiply
    22,102.94x = 30,502.81 × 12,031.75
  4. Step 4: Simplify right side
    22,102.94x = 367,002,184.22
  5. Step 5: Solve for x
    x = 367,002,184.22/22,102.94
  6. Step 6: Final answer
    x = 16,604.22

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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.