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Finding the Fourth Proportional to 13,049.20, 19,573.80 and 12,854.80

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Solution

The fourth proportional to 13,049.20, 19,573.80 and 12,854.80 is: 19,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.20 : 19,573.80 = 12,854.80 : x
  2. Step 2: Convert to fraction form
    13,049.20/19,573.80 = 12,854.80/x
  3. Step 3: Cross multiply
    13,049.20x = 19,573.80 × 12,854.80
  4. Step 4: Simplify right side
    13,049.20x = 251,617,284.24
  5. Step 5: Solve for x
    x = 251,617,284.24/13,049.20
  6. Step 6: Final answer
    x = 19,282.20

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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.