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Finding the Fourth Proportional to 22,103.32, 30,502.16 and 12,031.96

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Solution

The fourth proportional to 22,103.32, 30,502.16 and 12,031.96 is: 16,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.32 : 30,502.16 = 12,031.96 : x
  2. Step 2: Convert to fraction form
    22,103.32/30,502.16 = 12,031.96/x
  3. Step 3: Cross multiply
    22,103.32x = 30,502.16 × 12,031.96
  4. Step 4: Simplify right side
    22,103.32x = 367,000,769.03
  5. Step 5: Solve for x
    x = 367,000,769.03/22,103.32
  6. Step 6: Final answer
    x = 16,603.88

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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.