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Finding the Fourth Proportional to 37,596.96, 56,396.82 and 12,637.86

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Solution

The fourth proportional to 37,596.96, 56,396.82 and 12,637.86 is: 18,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,596.96 : 56,396.82 = 12,637.86 : x
  2. Step 2: Convert to fraction form
    37,596.96/56,396.82 = 12,637.86/x
  3. Step 3: Cross multiply
    37,596.96x = 56,396.82 × 12,637.86
  4. Step 4: Simplify right side
    37,596.96x = 712,735,115.61
  5. Step 5: Solve for x
    x = 712,735,115.61/37,596.96
  6. Step 6: Final answer
    x = 18,957.25

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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.