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Finding the Fourth Proportional to 22,102.58, 30,502.25 and 12,031.70

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Solution

The fourth proportional to 22,102.58, 30,502.25 and 12,031.70 is: 16,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.58 : 30,502.25 = 12,031.70 : x
  2. Step 2: Convert to fraction form
    22,102.58/30,502.25 = 12,031.70/x
  3. Step 3: Cross multiply
    22,102.58x = 30,502.25 × 12,031.70
  4. Step 4: Simplify right side
    22,102.58x = 366,993,861.17
  5. Step 5: Solve for x
    x = 366,993,861.17/22,102.58
  6. Step 6: Final answer
    x = 16,604.12

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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.