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Finding the Fourth Proportional to 22,102.74, 30,502.41 and 12,031.83

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Solution

The fourth proportional to 22,102.74, 30,502.41 and 12,031.83 is: 16,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.74 : 30,502.41 = 12,031.83 : x
  2. Step 2: Convert to fraction form
    22,102.74/30,502.41 = 12,031.83/x
  3. Step 3: Cross multiply
    22,102.74x = 30,502.41 × 12,031.83
  4. Step 4: Simplify right side
    22,102.74x = 366,999,811.71
  5. Step 5: Solve for x
    x = 366,999,811.71/22,102.74
  6. Step 6: Final answer
    x = 16,604.27

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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.