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Finding the Fourth Proportional to 16,396.48, 22,624.86 and 9,322.12

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Solution

The fourth proportional to 16,396.48, 22,624.86 and 9,322.12 is: 12,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.48 : 22,624.86 = 9,322.12 : x
  2. Step 2: Convert to fraction form
    16,396.48/22,624.86 = 9,322.12/x
  3. Step 3: Cross multiply
    16,396.48x = 22,624.86 × 9,322.12
  4. Step 4: Simplify right side
    16,396.48x = 210,911,659.90
  5. Step 5: Solve for x
    x = 210,911,659.90/16,396.48
  6. Step 6: Final answer
    x = 12,863.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.