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Finding the Fourth Proportional to 16,214.69, 24,323.29 and 6,224.24

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Solution

The fourth proportional to 16,214.69, 24,323.29 and 6,224.24 is: 9,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.69 : 24,323.29 = 6,224.24 : x
  2. Step 2: Convert to fraction form
    16,214.69/24,323.29 = 6,224.24/x
  3. Step 3: Cross multiply
    16,214.69x = 24,323.29 × 6,224.24
  4. Step 4: Simplify right side
    16,214.69x = 151,393,994.55
  5. Step 5: Solve for x
    x = 151,393,994.55/16,214.69
  6. Step 6: Final answer
    x = 9,336.84

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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.