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Finding the Fourth Proportional to 12,994.71, 19,510.29 and 8,049.66

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Solution

The fourth proportional to 12,994.71, 19,510.29 and 8,049.66 is: 12,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.71 : 19,510.29 = 8,049.66 : x
  2. Step 2: Convert to fraction form
    12,994.71/19,510.29 = 8,049.66/x
  3. Step 3: Cross multiply
    12,994.71x = 19,510.29 × 8,049.66
  4. Step 4: Simplify right side
    12,994.71x = 157,051,201.00
  5. Step 5: Solve for x
    x = 157,051,201.00/12,994.71
  6. Step 6: Final answer
    x = 12,085.78

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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.