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Finding the Fourth Proportional to 12,998.83, 19,498.25 and 3,138.10

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Solution

The fourth proportional to 12,998.83, 19,498.25 and 3,138.10 is: 4,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.83 : 19,498.25 = 3,138.10 : x
  2. Step 2: Convert to fraction form
    12,998.83/19,498.25 = 3,138.10/x
  3. Step 3: Cross multiply
    12,998.83x = 19,498.25 × 3,138.10
  4. Step 4: Simplify right side
    12,998.83x = 61,187,442.63
  5. Step 5: Solve for x
    x = 61,187,442.63/12,998.83
  6. Step 6: Final answer
    x = 4,707.15

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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.