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Finding the Fourth Proportional to 12,998.70, 19,498.05 and 7,469.10

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Solution

The fourth proportional to 12,998.70, 19,498.05 and 7,469.10 is: 11,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.70 : 19,498.05 = 7,469.10 : x
  2. Step 2: Convert to fraction form
    12,998.70/19,498.05 = 7,469.10/x
  3. Step 3: Cross multiply
    12,998.70x = 19,498.05 × 7,469.10
  4. Step 4: Simplify right side
    12,998.70x = 145,632,885.26
  5. Step 5: Solve for x
    x = 145,632,885.26/12,998.70
  6. Step 6: Final answer
    x = 11,203.65

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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.