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Finding the Fourth Proportional to 13,561.53, 18,714.31 and 7,896.44

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Solution

The fourth proportional to 13,561.53, 18,714.31 and 7,896.44 is: 10,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.53 : 18,714.31 = 7,896.44 : x
  2. Step 2: Convert to fraction form
    13,561.53/18,714.31 = 7,896.44/x
  3. Step 3: Cross multiply
    13,561.53x = 18,714.31 × 7,896.44
  4. Step 4: Simplify right side
    13,561.53x = 147,776,312.74
  5. Step 5: Solve for x
    x = 147,776,312.74/13,561.53
  6. Step 6: Final answer
    x = 10,896.73

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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.