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Finding the Fourth Proportional to 21,433.69, 32,158.97 and 6,643.75

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Solution

The fourth proportional to 21,433.69, 32,158.97 and 6,643.75 is: 9,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.69 : 32,158.97 = 6,643.75 : x
  2. Step 2: Convert to fraction form
    21,433.69/32,158.97 = 6,643.75/x
  3. Step 3: Cross multiply
    21,433.69x = 32,158.97 × 6,643.75
  4. Step 4: Simplify right side
    21,433.69x = 213,656,123.72
  5. Step 5: Solve for x
    x = 213,656,123.72/21,433.69
  6. Step 6: Final answer
    x = 9,968.24

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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.