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Finding the Fourth Proportional to 13,049.76, 19,450.86 and 12,947.70

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Solution

The fourth proportional to 13,049.76, 19,450.86 and 12,947.70 is: 19,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.76 : 19,450.86 = 12,947.70 : x
  2. Step 2: Convert to fraction form
    13,049.76/19,450.86 = 12,947.70/x
  3. Step 3: Cross multiply
    13,049.76x = 19,450.86 × 12,947.70
  4. Step 4: Simplify right side
    13,049.76x = 251,843,900.02
  5. Step 5: Solve for x
    x = 251,843,900.02/13,049.76
  6. Step 6: Final answer
    x = 19,298.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.