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Finding the Fourth Proportional to 16,302.27, 22,496.34 and 10,013.43

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Solution

The fourth proportional to 16,302.27, 22,496.34 and 10,013.43 is: 13,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.27 : 22,496.34 = 10,013.43 : x
  2. Step 2: Convert to fraction form
    16,302.27/22,496.34 = 10,013.43/x
  3. Step 3: Cross multiply
    16,302.27x = 22,496.34 × 10,013.43
  4. Step 4: Simplify right side
    16,302.27x = 225,265,525.85
  5. Step 5: Solve for x
    x = 225,265,525.85/16,302.27
  6. Step 6: Final answer
    x = 13,818.05

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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.