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Finding the Fourth Proportional to 13,011.74, 19,503.72 and 6,765.44

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Solution

The fourth proportional to 13,011.74, 19,503.72 and 6,765.44 is: 10,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.74 : 19,503.72 = 6,765.44 : x
  2. Step 2: Convert to fraction form
    13,011.74/19,503.72 = 6,765.44/x
  3. Step 3: Cross multiply
    13,011.74x = 19,503.72 × 6,765.44
  4. Step 4: Simplify right side
    13,011.74x = 131,951,296.20
  5. Step 5: Solve for x
    x = 131,951,296.20/13,011.74
  6. Step 6: Final answer
    x = 10,140.95

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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.