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Finding the Fourth Proportional to 21,759.42, 32,633.15 and 7,717.58

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Solution

The fourth proportional to 21,759.42, 32,633.15 and 7,717.58 is: 11,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,759.42 : 32,633.15 = 7,717.58 : x
  2. Step 2: Convert to fraction form
    21,759.42/32,633.15 = 7,717.58/x
  3. Step 3: Cross multiply
    21,759.42x = 32,633.15 × 7,717.58
  4. Step 4: Simplify right side
    21,759.42x = 251,848,744.02
  5. Step 5: Solve for x
    x = 251,848,744.02/21,759.42
  6. Step 6: Final answer
    x = 11,574.24

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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.