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Finding the Fourth Proportional to 12,207.83, 18,284.06 and 7,765.49

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Solution

The fourth proportional to 12,207.83, 18,284.06 and 7,765.49 is: 11,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.83 : 18,284.06 = 7,765.49 : x
  2. Step 2: Convert to fraction form
    12,207.83/18,284.06 = 7,765.49/x
  3. Step 3: Cross multiply
    12,207.83x = 18,284.06 × 7,765.49
  4. Step 4: Simplify right side
    12,207.83x = 141,984,554.84
  5. Step 5: Solve for x
    x = 141,984,554.84/12,207.83
  6. Step 6: Final answer
    x = 11,630.62

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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.