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Finding the Fourth Proportional to 16,322.96, 24,468.96 and 6,468.32

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Solution

The fourth proportional to 16,322.96, 24,468.96 and 6,468.32 is: 9,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.96 : 24,468.96 = 6,468.32 : x
  2. Step 2: Convert to fraction form
    16,322.96/24,468.96 = 6,468.32/x
  3. Step 3: Cross multiply
    16,322.96x = 24,468.96 × 6,468.32
  4. Step 4: Simplify right side
    16,322.96x = 158,273,063.35
  5. Step 5: Solve for x
    x = 158,273,063.35/16,322.96
  6. Step 6: Final answer
    x = 9,696.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.