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Finding the Fourth Proportional to 13,019.68, 19,532.76 and 3,785.68

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Solution

The fourth proportional to 13,019.68, 19,532.76 and 3,785.68 is: 5,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.68 : 19,532.76 = 3,785.68 : x
  2. Step 2: Convert to fraction form
    13,019.68/19,532.76 = 3,785.68/x
  3. Step 3: Cross multiply
    13,019.68x = 19,532.76 × 3,785.68
  4. Step 4: Simplify right side
    13,019.68x = 73,944,778.88
  5. Step 5: Solve for x
    x = 73,944,778.88/13,019.68
  6. Step 6: Final answer
    x = 5,679.46

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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.