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Finding the Fourth Proportional to 23,803.57, 32,847.62 and 13,192.57

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Solution

The fourth proportional to 23,803.57, 32,847.62 and 13,192.57 is: 18,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.57 : 32,847.62 = 13,192.57 : x
  2. Step 2: Convert to fraction form
    23,803.57/32,847.62 = 13,192.57/x
  3. Step 3: Cross multiply
    23,803.57x = 32,847.62 × 13,192.57
  4. Step 4: Simplify right side
    23,803.57x = 433,344,559.16
  5. Step 5: Solve for x
    x = 433,344,559.16/23,803.57
  6. Step 6: Final answer
    x = 18,205.02

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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.