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Finding the Fourth Proportional to 16,534.38, 22,819.62 and 9,459.42

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Solution

The fourth proportional to 16,534.38, 22,819.62 and 9,459.42 is: 13,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.38 : 22,819.62 = 9,459.42 : x
  2. Step 2: Convert to fraction form
    16,534.38/22,819.62 = 9,459.42/x
  3. Step 3: Cross multiply
    16,534.38x = 22,819.62 × 9,459.42
  4. Step 4: Simplify right side
    16,534.38x = 215,860,369.82
  5. Step 5: Solve for x
    x = 215,860,369.82/16,534.38
  6. Step 6: Final answer
    x = 13,055.24

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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.