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Finding the Fourth Proportional to 14,249.83, 19,664.67 and 7,962.22

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Solution

The fourth proportional to 14,249.83, 19,664.67 and 7,962.22 is: 10,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.83 : 19,664.67 = 7,962.22 : x
  2. Step 2: Convert to fraction form
    14,249.83/19,664.67 = 7,962.22/x
  3. Step 3: Cross multiply
    14,249.83x = 19,664.67 × 7,962.22
  4. Step 4: Simplify right side
    14,249.83x = 156,574,428.77
  5. Step 5: Solve for x
    x = 156,574,428.77/14,249.83
  6. Step 6: Final answer
    x = 10,987.81

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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.