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Finding the Fourth Proportional to 12,768.18, 19,115.82 and 9,852.18

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Solution

The fourth proportional to 12,768.18, 19,115.82 and 9,852.18 is: 14,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.18 : 19,115.82 = 9,852.18 : x
  2. Step 2: Convert to fraction form
    12,768.18/19,115.82 = 9,852.18/x
  3. Step 3: Cross multiply
    12,768.18x = 19,115.82 × 9,852.18
  4. Step 4: Simplify right side
    12,768.18x = 188,332,499.49
  5. Step 5: Solve for x
    x = 188,332,499.49/12,768.18
  6. Step 6: Final answer
    x = 14,750.14

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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.