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Finding the Fourth Proportional to 13,019.46, 19,530.39 and 4,254.42

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Solution

The fourth proportional to 13,019.46, 19,530.39 and 4,254.42 is: 6,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.46 : 19,530.39 = 4,254.42 : x
  2. Step 2: Convert to fraction form
    13,019.46/19,530.39 = 4,254.42/x
  3. Step 3: Cross multiply
    13,019.46x = 19,530.39 × 4,254.42
  4. Step 4: Simplify right side
    13,019.46x = 83,090,481.82
  5. Step 5: Solve for x
    x = 83,090,481.82/13,019.46
  6. Step 6: Final answer
    x = 6,382.02

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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.