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Finding the Fourth Proportional to 12,797.80, 19,184.24 and 6,560.70

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Solution

The fourth proportional to 12,797.80, 19,184.24 and 6,560.70 is: 9,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.80 : 19,184.24 = 6,560.70 : x
  2. Step 2: Convert to fraction form
    12,797.80/19,184.24 = 6,560.70/x
  3. Step 3: Cross multiply
    12,797.80x = 19,184.24 × 6,560.70
  4. Step 4: Simplify right side
    12,797.80x = 125,861,987.83
  5. Step 5: Solve for x
    x = 125,861,987.83/12,797.80
  6. Step 6: Final answer
    x = 9,834.66

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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.