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Finding the Fourth Proportional to 12,498.30, 18,735.12 and 5,098.14

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Solution

The fourth proportional to 12,498.30, 18,735.12 and 5,098.14 is: 7,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.30 : 18,735.12 = 5,098.14 : x
  2. Step 2: Convert to fraction form
    12,498.30/18,735.12 = 5,098.14/x
  3. Step 3: Cross multiply
    12,498.30x = 18,735.12 × 5,098.14
  4. Step 4: Simplify right side
    12,498.30x = 95,514,264.68
  5. Step 5: Solve for x
    x = 95,514,264.68/12,498.30
  6. Step 6: Final answer
    x = 7,642.18

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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.