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Finding the Fourth Proportional to 23,907.68, 32,993.22 and 13,152.83

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Solution

The fourth proportional to 23,907.68, 32,993.22 and 13,152.83 is: 18,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.68 : 32,993.22 = 13,152.83 : x
  2. Step 2: Convert to fraction form
    23,907.68/32,993.22 = 13,152.83/x
  3. Step 3: Cross multiply
    23,907.68x = 32,993.22 × 13,152.83
  4. Step 4: Simplify right side
    23,907.68x = 433,954,048.85
  5. Step 5: Solve for x
    x = 433,954,048.85/23,907.68
  6. Step 6: Final answer
    x = 18,151.24

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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.