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Finding the Fourth Proportional to 12,923.78, 19,370.03 and 5,894.17

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Solution

The fourth proportional to 12,923.78, 19,370.03 and 5,894.17 is: 8,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.78 : 19,370.03 = 5,894.17 : x
  2. Step 2: Convert to fraction form
    12,923.78/19,370.03 = 5,894.17/x
  3. Step 3: Cross multiply
    12,923.78x = 19,370.03 × 5,894.17
  4. Step 4: Simplify right side
    12,923.78x = 114,170,249.73
  5. Step 5: Solve for x
    x = 114,170,249.73/12,923.78
  6. Step 6: Final answer
    x = 8,834.12

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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.