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Finding the Fourth Proportional to 37,924.83, 56,894.00 and 12,967.65

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Solution

The fourth proportional to 37,924.83, 56,894.00 and 12,967.65 is: 19,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924.83 : 56,894.00 = 12,967.65 : x
  2. Step 2: Convert to fraction form
    37,924.83/56,894.00 = 12,967.65/x
  3. Step 3: Cross multiply
    37,924.83x = 56,894.00 × 12,967.65
  4. Step 4: Simplify right side
    37,924.83x = 737,781,414.26
  5. Step 5: Solve for x
    x = 737,781,414.26/37,924.83
  6. Step 6: Final answer
    x = 19,453.78

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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.