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Finding the Fourth Proportional to 16,564.89, 22,859.10 and 9,396.12

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Solution

The fourth proportional to 16,564.89, 22,859.10 and 9,396.12 is: 12,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.89 : 22,859.10 = 9,396.12 : x
  2. Step 2: Convert to fraction form
    16,564.89/22,859.10 = 9,396.12/x
  3. Step 3: Cross multiply
    16,564.89x = 22,859.10 × 9,396.12
  4. Step 4: Simplify right side
    16,564.89x = 214,786,846.69
  5. Step 5: Solve for x
    x = 214,786,846.69/16,564.89
  6. Step 6: Final answer
    x = 12,966.39

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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.