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Finding the Fourth Proportional to 39,658.68, 59,489.64 and 13,366.08

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Solution

The fourth proportional to 39,658.68, 59,489.64 and 13,366.08 is: 20,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658.68 : 59,489.64 = 13,366.08 : x
  2. Step 2: Convert to fraction form
    39,658.68/59,489.64 = 13,366.08/x
  3. Step 3: Cross multiply
    39,658.68x = 59,489.64 × 13,366.08
  4. Step 4: Simplify right side
    39,658.68x = 795,143,287.41
  5. Step 5: Solve for x
    x = 795,143,287.41/39,658.68
  6. Step 6: Final answer
    x = 20,049.67

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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.