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Finding the Fourth Proportional to 12,944.70, 19,431.45 and 8,019.90

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Solution

The fourth proportional to 12,944.70, 19,431.45 and 8,019.90 is: 12,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.70 : 19,431.45 = 8,019.90 : x
  2. Step 2: Convert to fraction form
    12,944.70/19,431.45 = 8,019.90/x
  3. Step 3: Cross multiply
    12,944.70x = 19,431.45 × 8,019.90
  4. Step 4: Simplify right side
    12,944.70x = 155,838,285.86
  5. Step 5: Solve for x
    x = 155,838,285.86/12,944.70
  6. Step 6: Final answer
    x = 12,038.77

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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.