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Finding the Fourth Proportional to 23,803.17, 32,847.87 and 13,192.71

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Solution

The fourth proportional to 23,803.17, 32,847.87 and 13,192.71 is: 18,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.17 : 32,847.87 = 13,192.71 : x
  2. Step 2: Convert to fraction form
    23,803.17/32,847.87 = 13,192.71/x
  3. Step 3: Cross multiply
    23,803.17x = 32,847.87 × 13,192.71
  4. Step 4: Simplify right side
    23,803.17x = 433,352,423.03
  5. Step 5: Solve for x
    x = 433,352,423.03/23,803.17
  6. Step 6: Final answer
    x = 18,205.66

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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.