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Finding the Fourth Proportional to 12,341.72, 18,517.98 and 7,967.72

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Solution

The fourth proportional to 12,341.72, 18,517.98 and 7,967.72 is: 11,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.72 : 18,517.98 = 7,967.72 : x
  2. Step 2: Convert to fraction form
    12,341.72/18,517.98 = 7,967.72/x
  3. Step 3: Cross multiply
    12,341.72x = 18,517.98 × 7,967.72
  4. Step 4: Simplify right side
    12,341.72x = 147,546,079.61
  5. Step 5: Solve for x
    x = 147,546,079.61/12,341.72
  6. Step 6: Final answer
    x = 11,955.07

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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.