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Finding the Fourth Proportional to 19,716.50, 29,560.17 and 11,923.58

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Solution

The fourth proportional to 19,716.50, 29,560.17 and 11,923.58 is: 17,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.50 : 29,560.17 = 11,923.58 : x
  2. Step 2: Convert to fraction form
    19,716.50/29,560.17 = 11,923.58/x
  3. Step 3: Cross multiply
    19,716.50x = 29,560.17 × 11,923.58
  4. Step 4: Simplify right side
    19,716.50x = 352,463,051.81
  5. Step 5: Solve for x
    x = 352,463,051.81/19,716.50
  6. Step 6: Final answer
    x = 17,876.55

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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.