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Finding the Fourth Proportional to 13,198.59, 19,799.14 and 3,710.89

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Solution

The fourth proportional to 13,198.59, 19,799.14 and 3,710.89 is: 5,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.59 : 19,799.14 = 3,710.89 : x
  2. Step 2: Convert to fraction form
    13,198.59/19,799.14 = 3,710.89/x
  3. Step 3: Cross multiply
    13,198.59x = 19,799.14 × 3,710.89
  4. Step 4: Simplify right side
    13,198.59x = 73,472,371.86
  5. Step 5: Solve for x
    x = 73,472,371.86/13,198.59
  6. Step 6: Final answer
    x = 5,566.68

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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.