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Finding the Fourth Proportional to 16,420.42, 24,619.38 and 5,890.21

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Solution

The fourth proportional to 16,420.42, 24,619.38 and 5,890.21 is: 8,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.42 : 24,619.38 = 5,890.21 : x
  2. Step 2: Convert to fraction form
    16,420.42/24,619.38 = 5,890.21/x
  3. Step 3: Cross multiply
    16,420.42x = 24,619.38 × 5,890.21
  4. Step 4: Simplify right side
    16,420.42x = 145,013,318.27
  5. Step 5: Solve for x
    x = 145,013,318.27/16,420.42
  6. Step 6: Final answer
    x = 8,831.28

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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.