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Finding the Fourth Proportional to 14,087.71, 19,441.26 and 7,714.19

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Solution

The fourth proportional to 14,087.71, 19,441.26 and 7,714.19 is: 10,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.71 : 19,441.26 = 7,714.19 : x
  2. Step 2: Convert to fraction form
    14,087.71/19,441.26 = 7,714.19/x
  3. Step 3: Cross multiply
    14,087.71x = 19,441.26 × 7,714.19
  4. Step 4: Simplify right side
    14,087.71x = 149,973,593.15
  5. Step 5: Solve for x
    x = 149,973,593.15/14,087.71
  6. Step 6: Final answer
    x = 10,645.71

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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.