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Finding the Fourth Proportional to 16,496.46, 22,762.26 and 9,326.70

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Solution

The fourth proportional to 16,496.46, 22,762.26 and 9,326.70 is: 12,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.46 : 22,762.26 = 9,326.70 : x
  2. Step 2: Convert to fraction form
    16,496.46/22,762.26 = 9,326.70/x
  3. Step 3: Cross multiply
    16,496.46x = 22,762.26 × 9,326.70
  4. Step 4: Simplify right side
    16,496.46x = 212,296,770.34
  5. Step 5: Solve for x
    x = 212,296,770.34/16,496.46
  6. Step 6: Final answer
    x = 12,869.23

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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.