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Finding the Fourth Proportional to 21,993.23, 32,995.47 and 6,410.81

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Solution

The fourth proportional to 21,993.23, 32,995.47 and 6,410.81 is: 9,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.23 : 32,995.47 = 6,410.81 : x
  2. Step 2: Convert to fraction form
    21,993.23/32,995.47 = 6,410.81/x
  3. Step 3: Cross multiply
    21,993.23x = 32,995.47 × 6,410.81
  4. Step 4: Simplify right side
    21,993.23x = 211,527,689.03
  5. Step 5: Solve for x
    x = 211,527,689.03/21,993.23
  6. Step 6: Final answer
    x = 9,617.85

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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.