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Finding the Fourth Proportional to 21,456.95, 32,185.43 and 6,665.87

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Solution

The fourth proportional to 21,456.95, 32,185.43 and 6,665.87 is: 9,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.95 : 32,185.43 = 6,665.87 : x
  2. Step 2: Convert to fraction form
    21,456.95/32,185.43 = 6,665.87/x
  3. Step 3: Cross multiply
    21,456.95x = 32,185.43 × 6,665.87
  4. Step 4: Simplify right side
    21,456.95x = 214,543,964.41
  5. Step 5: Solve for x
    x = 214,543,964.41/21,456.95
  6. Step 6: Final answer
    x = 9,998.81

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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.