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Finding the Fourth Proportional to 12,686.70, 19,035.45 and 8,010.30

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Solution

The fourth proportional to 12,686.70, 19,035.45 and 8,010.30 is: 12,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.70 : 19,035.45 = 8,010.30 : x
  2. Step 2: Convert to fraction form
    12,686.70/19,035.45 = 8,010.30/x
  3. Step 3: Cross multiply
    12,686.70x = 19,035.45 × 8,010.30
  4. Step 4: Simplify right side
    12,686.70x = 152,479,665.14
  5. Step 5: Solve for x
    x = 152,479,665.14/12,686.70
  6. Step 6: Final answer
    x = 12,018.86

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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.