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Finding the Fourth Proportional to 14,089.39, 19,443.71 and 7,716.33

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Solution

The fourth proportional to 14,089.39, 19,443.71 and 7,716.33 is: 10,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.39 : 19,443.71 = 7,716.33 : x
  2. Step 2: Convert to fraction form
    14,089.39/19,443.71 = 7,716.33/x
  3. Step 3: Cross multiply
    14,089.39x = 19,443.71 × 7,716.33
  4. Step 4: Simplify right side
    14,089.39x = 150,034,102.08
  5. Step 5: Solve for x
    x = 150,034,102.08/14,089.39
  6. Step 6: Final answer
    x = 10,648.73

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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.