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Finding the Fourth Proportional to 37,662.56, 56,493.84 and 12,698

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Solution

The fourth proportional to 37,662.56, 56,493.84 and 12,698 is: 19,047

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.56 : 56,493.84 = 12,698 : x
  2. Step 2: Convert to fraction form
    37,662.56/56,493.84 = 12,698/x
  3. Step 3: Cross multiply
    37,662.56x = 56,493.84 × 12,698
  4. Step 4: Simplify right side
    37,662.56x = 717,358,780.32
  5. Step 5: Solve for x
    x = 717,358,780.32/37,662.56
  6. Step 6: Final answer
    x = 19,047

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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.