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Finding the Fourth Proportional to 12,013.97, 18,011.62 and 7,788.30

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Solution

The fourth proportional to 12,013.97, 18,011.62 and 7,788.30 is: 11,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.97 : 18,011.62 = 7,788.30 : x
  2. Step 2: Convert to fraction form
    12,013.97/18,011.62 = 7,788.30/x
  3. Step 3: Cross multiply
    12,013.97x = 18,011.62 × 7,788.30
  4. Step 4: Simplify right side
    12,013.97x = 140,279,900.05
  5. Step 5: Solve for x
    x = 140,279,900.05/12,013.97
  6. Step 6: Final answer
    x = 11,676.40

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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.