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Finding the Fourth Proportional to 16,305.98, 22,502.34 and 9,233.78

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Solution

The fourth proportional to 16,305.98, 22,502.34 and 9,233.78 is: 12,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.98 : 22,502.34 = 9,233.78 : x
  2. Step 2: Convert to fraction form
    16,305.98/22,502.34 = 9,233.78/x
  3. Step 3: Cross multiply
    16,305.98x = 22,502.34 × 9,233.78
  4. Step 4: Simplify right side
    16,305.98x = 207,781,713.30
  5. Step 5: Solve for x
    x = 207,781,713.30/16,305.98
  6. Step 6: Final answer
    x = 12,742.67

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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.