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Finding the Fourth Proportional to 23,329.76, 32,182.07 and 16,163.87

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Solution

The fourth proportional to 23,329.76, 32,182.07 and 16,163.87 is: 22,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,329.76 : 32,182.07 = 16,163.87 : x
  2. Step 2: Convert to fraction form
    23,329.76/32,182.07 = 16,163.87/x
  3. Step 3: Cross multiply
    23,329.76x = 32,182.07 × 16,163.87
  4. Step 4: Simplify right side
    23,329.76x = 520,186,916.68
  5. Step 5: Solve for x
    x = 520,186,916.68/23,329.76
  6. Step 6: Final answer
    x = 22,297.14

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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.