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Finding the Fourth Proportional to 14,113.82, 21,157.06 and 6,716.29

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Solution

The fourth proportional to 14,113.82, 21,157.06 and 6,716.29 is: 10,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.82 : 21,157.06 = 6,716.29 : x
  2. Step 2: Convert to fraction form
    14,113.82/21,157.06 = 6,716.29/x
  3. Step 3: Cross multiply
    14,113.82x = 21,157.06 × 6,716.29
  4. Step 4: Simplify right side
    14,113.82x = 142,096,950.51
  5. Step 5: Solve for x
    x = 142,096,950.51/14,113.82
  6. Step 6: Final answer
    x = 10,067.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.