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Finding the Fourth Proportional to 23,329, 32,195.30 and 13,393.64

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Solution

The fourth proportional to 23,329, 32,195.30 and 13,393.64 is: 18,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,329 : 32,195.30 = 13,393.64 : x
  2. Step 2: Convert to fraction form
    23,329/32,195.30 = 13,393.64/x
  3. Step 3: Cross multiply
    23,329x = 32,195.30 × 13,393.64
  4. Step 4: Simplify right side
    23,329x = 431,212,257.89
  5. Step 5: Solve for x
    x = 431,212,257.89/23,329
  6. Step 6: Final answer
    x = 18,483.96

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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.