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Finding the Fourth Proportional to 23,893.60, 32,974.34 and 13,283

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Solution

The fourth proportional to 23,893.60, 32,974.34 and 13,283 is: 18,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.60 : 32,974.34 = 13,283 : x
  2. Step 2: Convert to fraction form
    23,893.60/32,974.34 = 13,283/x
  3. Step 3: Cross multiply
    23,893.60x = 32,974.34 × 13,283
  4. Step 4: Simplify right side
    23,893.60x = 437,998,158.22
  5. Step 5: Solve for x
    x = 437,998,158.22/23,893.60
  6. Step 6: Final answer
    x = 18,331.19

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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.