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Finding the Fourth Proportional to 12,690.38, 19,029.67 and 6,765.77

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Solution

The fourth proportional to 12,690.38, 19,029.67 and 6,765.77 is: 10,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.38 : 19,029.67 = 6,765.77 : x
  2. Step 2: Convert to fraction form
    12,690.38/19,029.67 = 6,765.77/x
  3. Step 3: Cross multiply
    12,690.38x = 19,029.67 × 6,765.77
  4. Step 4: Simplify right side
    12,690.38x = 128,750,370.40
  5. Step 5: Solve for x
    x = 128,750,370.40/12,690.38
  6. Step 6: Final answer
    x = 10,145.51

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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.