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Finding the Fourth Proportional to 12,383.34, 18,579.75 and 7,456.50

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Solution

The fourth proportional to 12,383.34, 18,579.75 and 7,456.50 is: 11,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.34 : 18,579.75 = 7,456.50 : x
  2. Step 2: Convert to fraction form
    12,383.34/18,579.75 = 7,456.50/x
  3. Step 3: Cross multiply
    12,383.34x = 18,579.75 × 7,456.50
  4. Step 4: Simplify right side
    12,383.34x = 138,539,905.88
  5. Step 5: Solve for x
    x = 138,539,905.88/12,383.34
  6. Step 6: Final answer
    x = 11,187.60

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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.