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Finding the Fourth Proportional to 12,732.36, 19,098.14 and 3,498.28

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Solution

The fourth proportional to 12,732.36, 19,098.14 and 3,498.28 is: 5,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.36 : 19,098.14 = 3,498.28 : x
  2. Step 2: Convert to fraction form
    12,732.36/19,098.14 = 3,498.28/x
  3. Step 3: Cross multiply
    12,732.36x = 19,098.14 × 3,498.28
  4. Step 4: Simplify right side
    12,732.36x = 66,810,641.20
  5. Step 5: Solve for x
    x = 66,810,641.20/12,732.36
  6. Step 6: Final answer
    x = 5,247.31

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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.