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Finding the Fourth Proportional to 22,022.70, 32,964.93 and 16,444.14

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Solution

The fourth proportional to 22,022.70, 32,964.93 and 16,444.14 is: 24,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.70 : 32,964.93 = 16,444.14 : x
  2. Step 2: Convert to fraction form
    22,022.70/32,964.93 = 16,444.14/x
  3. Step 3: Cross multiply
    22,022.70x = 32,964.93 × 16,444.14
  4. Step 4: Simplify right side
    22,022.70x = 542,079,924.01
  5. Step 5: Solve for x
    x = 542,079,924.01/22,022.70
  6. Step 6: Final answer
    x = 24,614.60

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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.