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Finding the Fourth Proportional to 16,411.88, 22,651.20 and 9,697.16

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Solution

The fourth proportional to 16,411.88, 22,651.20 and 9,697.16 is: 13,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.88 : 22,651.20 = 9,697.16 : x
  2. Step 2: Convert to fraction form
    16,411.88/22,651.20 = 9,697.16/x
  3. Step 3: Cross multiply
    16,411.88x = 22,651.20 × 9,697.16
  4. Step 4: Simplify right side
    16,411.88x = 219,652,310.59
  5. Step 5: Solve for x
    x = 219,652,310.59/16,411.88
  6. Step 6: Final answer
    x = 13,383.74

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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.