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Finding the Fourth Proportional to 13,019.67, 19,512.81 and 6,357.69

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Solution

The fourth proportional to 13,019.67, 19,512.81 and 6,357.69 is: 9,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.67 : 19,512.81 = 6,357.69 : x
  2. Step 2: Convert to fraction form
    13,019.67/19,512.81 = 6,357.69/x
  3. Step 3: Cross multiply
    13,019.67x = 19,512.81 × 6,357.69
  4. Step 4: Simplify right side
    13,019.67x = 124,056,397.01
  5. Step 5: Solve for x
    x = 124,056,397.01/13,019.67
  6. Step 6: Final answer
    x = 9,528.38

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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.