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Finding the Fourth Proportional to 23,803, 32,847.30 and 13,193.62

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Solution

The fourth proportional to 23,803, 32,847.30 and 13,193.62 is: 18,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803 : 32,847.30 = 13,193.62 : x
  2. Step 2: Convert to fraction form
    23,803/32,847.30 = 13,193.62/x
  3. Step 3: Cross multiply
    23,803x = 32,847.30 × 13,193.62
  4. Step 4: Simplify right side
    23,803x = 433,374,794.23
  5. Step 5: Solve for x
    x = 433,374,794.23/23,803
  6. Step 6: Final answer
    x = 18,206.73

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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.