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Finding the Fourth Proportional to 12,159.18, 18,238.79 and 6,961.46

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Solution

The fourth proportional to 12,159.18, 18,238.79 and 6,961.46 is: 10,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.18 : 18,238.79 = 6,961.46 : x
  2. Step 2: Convert to fraction form
    12,159.18/18,238.79 = 6,961.46/x
  3. Step 3: Cross multiply
    12,159.18x = 18,238.79 × 6,961.46
  4. Step 4: Simplify right side
    12,159.18x = 126,968,607.03
  5. Step 5: Solve for x
    x = 126,968,607.03/12,159.18
  6. Step 6: Final answer
    x = 10,442.20

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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.