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Finding the Fourth Proportional to 12,846.66, 19,261.35 and 6,997.70

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Solution

The fourth proportional to 12,846.66, 19,261.35 and 6,997.70 is: 10,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.66 : 19,261.35 = 6,997.70 : x
  2. Step 2: Convert to fraction form
    12,846.66/19,261.35 = 6,997.70/x
  3. Step 3: Cross multiply
    12,846.66x = 19,261.35 × 6,997.70
  4. Step 4: Simplify right side
    12,846.66x = 134,785,148.90
  5. Step 5: Solve for x
    x = 134,785,148.90/12,846.66
  6. Step 6: Final answer
    x = 10,491.84

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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.