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Finding the Fourth Proportional to 12,383.20, 18,553.20 and 10,316.48

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Solution

The fourth proportional to 12,383.20, 18,553.20 and 10,316.48 is: 15,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.20 : 18,553.20 = 10,316.48 : x
  2. Step 2: Convert to fraction form
    12,383.20/18,553.20 = 10,316.48/x
  3. Step 3: Cross multiply
    12,383.20x = 18,553.20 × 10,316.48
  4. Step 4: Simplify right side
    12,383.20x = 191,403,716.74
  5. Step 5: Solve for x
    x = 191,403,716.74/12,383.20
  6. Step 6: Final answer
    x = 15,456.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.