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Finding the Fourth Proportional to 14,342.56, 19,801.92 and 11,696.32

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Solution

The fourth proportional to 14,342.56, 19,801.92 and 11,696.32 is: 16,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.56 : 19,801.92 = 11,696.32 : x
  2. Step 2: Convert to fraction form
    14,342.56/19,801.92 = 11,696.32/x
  3. Step 3: Cross multiply
    14,342.56x = 19,801.92 × 11,696.32
  4. Step 4: Simplify right side
    14,342.56x = 231,609,592.93
  5. Step 5: Solve for x
    x = 231,609,592.93/14,342.56
  6. Step 6: Final answer
    x = 16,148.41

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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.