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Finding the Fourth Proportional to 16,774.16, 23,148.04 and 9,322

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Solution

The fourth proportional to 16,774.16, 23,148.04 and 9,322 is: 12,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.16 : 23,148.04 = 9,322 : x
  2. Step 2: Convert to fraction form
    16,774.16/23,148.04 = 9,322/x
  3. Step 3: Cross multiply
    16,774.16x = 23,148.04 × 9,322
  4. Step 4: Simplify right side
    16,774.16x = 215,786,028.88
  5. Step 5: Solve for x
    x = 215,786,028.88/16,774.16
  6. Step 6: Final answer
    x = 12,864.19

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Why These Related Problems?

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