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Finding the Fourth Proportional to 16,297.08, 22,488.84 and 9,583

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Solution

The fourth proportional to 16,297.08, 22,488.84 and 9,583 is: 13,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.08 : 22,488.84 = 9,583 : x
  2. Step 2: Convert to fraction form
    16,297.08/22,488.84 = 9,583/x
  3. Step 3: Cross multiply
    16,297.08x = 22,488.84 × 9,583
  4. Step 4: Simplify right side
    16,297.08x = 215,510,553.72
  5. Step 5: Solve for x
    x = 215,510,553.72/16,297.08
  6. Step 6: Final answer
    x = 13,223.88

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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.