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Finding the Fourth Proportional to 14,314.78, 19,754.14 and 8,027.16

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Solution

The fourth proportional to 14,314.78, 19,754.14 and 8,027.16 is: 11,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.78 : 19,754.14 = 8,027.16 : x
  2. Step 2: Convert to fraction form
    14,314.78/19,754.14 = 8,027.16/x
  3. Step 3: Cross multiply
    14,314.78x = 19,754.14 × 8,027.16
  4. Step 4: Simplify right side
    14,314.78x = 158,569,642.44
  5. Step 5: Solve for x
    x = 158,569,642.44/14,314.78
  6. Step 6: Final answer
    x = 11,077.34

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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.