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Finding the Fourth Proportional to 21,992.17, 32,993.70 and 6,409.75

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Solution

The fourth proportional to 21,992.17, 32,993.70 and 6,409.75 is: 9,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.17 : 32,993.70 = 6,409.75 : x
  2. Step 2: Convert to fraction form
    21,992.17/32,993.70 = 6,409.75/x
  3. Step 3: Cross multiply
    21,992.17x = 32,993.70 × 6,409.75
  4. Step 4: Simplify right side
    21,992.17x = 211,481,368.58
  5. Step 5: Solve for x
    x = 211,481,368.58/21,992.17
  6. Step 6: Final answer
    x = 9,616.21

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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.