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Finding the Fourth Proportional to 14,271.44, 19,693.32 and 8,684.24

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Solution

The fourth proportional to 14,271.44, 19,693.32 and 8,684.24 is: 11,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.44 : 19,693.32 = 8,684.24 : x
  2. Step 2: Convert to fraction form
    14,271.44/19,693.32 = 8,684.24/x
  3. Step 3: Cross multiply
    14,271.44x = 19,693.32 × 8,684.24
  4. Step 4: Simplify right side
    14,271.44x = 171,021,517.28
  5. Step 5: Solve for x
    x = 171,021,517.28/14,271.44
  6. Step 6: Final answer
    x = 11,983.48

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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.