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Finding the Fourth Proportional to 21,633.24, 32,443.38 and 7,779

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Solution

The fourth proportional to 21,633.24, 32,443.38 and 7,779 is: 11,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.24 : 32,443.38 = 7,779 : x
  2. Step 2: Convert to fraction form
    21,633.24/32,443.38 = 7,779/x
  3. Step 3: Cross multiply
    21,633.24x = 32,443.38 × 7,779
  4. Step 4: Simplify right side
    21,633.24x = 252,377,053.02
  5. Step 5: Solve for x
    x = 252,377,053.02/21,633.24
  6. Step 6: Final answer
    x = 11,666.17

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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.