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Finding the Fourth Proportional to 13,019.25, 19,532.21 and 3,785.25

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Solution

The fourth proportional to 13,019.25, 19,532.21 and 3,785.25 is: 5,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.25 : 19,532.21 = 3,785.25 : x
  2. Step 2: Convert to fraction form
    13,019.25/19,532.21 = 3,785.25/x
  3. Step 3: Cross multiply
    13,019.25x = 19,532.21 × 3,785.25
  4. Step 4: Simplify right side
    13,019.25x = 73,934,278.98
  5. Step 5: Solve for x
    x = 73,934,278.98/13,019.25
  6. Step 6: Final answer
    x = 5,678.84

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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.