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Finding the Fourth Proportional to 16,284.21, 24,409.83 and 6,430.44

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Solution

The fourth proportional to 16,284.21, 24,409.83 and 6,430.44 is: 9,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.21 : 24,409.83 = 6,430.44 : x
  2. Step 2: Convert to fraction form
    16,284.21/24,409.83 = 6,430.44/x
  3. Step 3: Cross multiply
    16,284.21x = 24,409.83 × 6,430.44
  4. Step 4: Simplify right side
    16,284.21x = 156,965,947.23
  5. Step 5: Solve for x
    x = 156,965,947.23/16,284.21
  6. Step 6: Final answer
    x = 9,639.15

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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.