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Finding the Fourth Proportional to 13,103.91, 19,658.97 and 5,709.69

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Solution

The fourth proportional to 13,103.91, 19,658.97 and 5,709.69 is: 8,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.91 : 19,658.97 = 5,709.69 : x
  2. Step 2: Convert to fraction form
    13,103.91/19,658.97 = 5,709.69/x
  3. Step 3: Cross multiply
    13,103.91x = 19,658.97 × 5,709.69
  4. Step 4: Simplify right side
    13,103.91x = 112,246,624.42
  5. Step 5: Solve for x
    x = 112,246,624.42/13,103.91
  6. Step 6: Final answer
    x = 8,565.89

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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.