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Finding the Fourth Proportional to 14,231.86, 19,640.55 and 7,943.02

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Solution

The fourth proportional to 14,231.86, 19,640.55 and 7,943.02 is: 10,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.86 : 19,640.55 = 7,943.02 : x
  2. Step 2: Convert to fraction form
    14,231.86/19,640.55 = 7,943.02/x
  3. Step 3: Cross multiply
    14,231.86x = 19,640.55 × 7,943.02
  4. Step 4: Simplify right side
    14,231.86x = 156,005,281.46
  5. Step 5: Solve for x
    x = 156,005,281.46/14,231.86
  6. Step 6: Final answer
    x = 10,961.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.