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Finding the Fourth Proportional to 12,761.64, 19,139.34 and 5,366.19

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Solution

The fourth proportional to 12,761.64, 19,139.34 and 5,366.19 is: 8,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.64 : 19,139.34 = 5,366.19 : x
  2. Step 2: Convert to fraction form
    12,761.64/19,139.34 = 5,366.19/x
  3. Step 3: Cross multiply
    12,761.64x = 19,139.34 × 5,366.19
  4. Step 4: Simplify right side
    12,761.64x = 102,705,334.91
  5. Step 5: Solve for x
    x = 102,705,334.91/12,761.64
  6. Step 6: Final answer
    x = 8,047.97

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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.