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Finding the Fourth Proportional to 12,777.21, 19,168.38 and 6,199.74

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Solution

The fourth proportional to 12,777.21, 19,168.38 and 6,199.74 is: 9,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.21 : 19,168.38 = 6,199.74 : x
  2. Step 2: Convert to fraction form
    12,777.21/19,168.38 = 6,199.74/x
  3. Step 3: Cross multiply
    12,777.21x = 19,168.38 × 6,199.74
  4. Step 4: Simplify right side
    12,777.21x = 118,838,972.22
  5. Step 5: Solve for x
    x = 118,838,972.22/12,777.21
  6. Step 6: Final answer
    x = 9,300.85

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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.