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Finding the Fourth Proportional to 37,209.32, 55,822.20 and 12,257.12

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Solution

The fourth proportional to 37,209.32, 55,822.20 and 12,257.12 is: 18,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209.32 : 55,822.20 = 12,257.12 : x
  2. Step 2: Convert to fraction form
    37,209.32/55,822.20 = 12,257.12/x
  3. Step 3: Cross multiply
    37,209.32x = 55,822.20 × 12,257.12
  4. Step 4: Simplify right side
    37,209.32x = 684,219,404.06
  5. Step 5: Solve for x
    x = 684,219,404.06/37,209.32
  6. Step 6: Final answer
    x = 18,388.39

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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.