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Finding the Fourth Proportional to 21,642.75, 32,467.71 and 7,599.13

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Solution

The fourth proportional to 21,642.75, 32,467.71 and 7,599.13 is: 11,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.75 : 32,467.71 = 7,599.13 : x
  2. Step 2: Convert to fraction form
    21,642.75/32,467.71 = 7,599.13/x
  3. Step 3: Cross multiply
    21,642.75x = 32,467.71 × 7,599.13
  4. Step 4: Simplify right side
    21,642.75x = 246,726,349.09
  5. Step 5: Solve for x
    x = 246,726,349.09/21,642.75
  6. Step 6: Final answer
    x = 11,399.95

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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.