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Finding the Fourth Proportional to 14,314.25, 19,750.52 and 13,842.29

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Solution

The fourth proportional to 14,314.25, 19,750.52 and 13,842.29 is: 19,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.25 : 19,750.52 = 13,842.29 : x
  2. Step 2: Convert to fraction form
    14,314.25/19,750.52 = 13,842.29/x
  3. Step 3: Cross multiply
    14,314.25x = 19,750.52 × 13,842.29
  4. Step 4: Simplify right side
    14,314.25x = 273,392,257.53
  5. Step 5: Solve for x
    x = 273,392,257.53/14,314.25
  6. Step 6: Final answer
    x = 19,099.31

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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.