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Finding the Fourth Proportional to 12,797.09, 19,197.48 and 4,032.71

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Solution

The fourth proportional to 12,797.09, 19,197.48 and 4,032.71 is: 6,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.09 : 19,197.48 = 4,032.71 : x
  2. Step 2: Convert to fraction form
    12,797.09/19,197.48 = 4,032.71/x
  3. Step 3: Cross multiply
    12,797.09x = 19,197.48 × 4,032.71
  4. Step 4: Simplify right side
    12,797.09x = 77,417,869.57
  5. Step 5: Solve for x
    x = 77,417,869.57/12,797.09
  6. Step 6: Final answer
    x = 6,049.65

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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.