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Finding the Fourth Proportional to 16,371.96, 22,596.26 and 9,657.19

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Solution

The fourth proportional to 16,371.96, 22,596.26 and 9,657.19 is: 13,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.96 : 22,596.26 = 9,657.19 : x
  2. Step 2: Convert to fraction form
    16,371.96/22,596.26 = 9,657.19/x
  3. Step 3: Cross multiply
    16,371.96x = 22,596.26 × 9,657.19
  4. Step 4: Simplify right side
    16,371.96x = 218,216,400.25
  5. Step 5: Solve for x
    x = 218,216,400.25/16,371.96
  6. Step 6: Final answer
    x = 13,328.66

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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.