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Finding the Fourth Proportional to 12,398.26, 18,553.92 and 8,892.22

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Solution

The fourth proportional to 12,398.26, 18,553.92 and 8,892.22 is: 13,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.26 : 18,553.92 = 8,892.22 : x
  2. Step 2: Convert to fraction form
    12,398.26/18,553.92 = 8,892.22/x
  3. Step 3: Cross multiply
    12,398.26x = 18,553.92 × 8,892.22
  4. Step 4: Simplify right side
    12,398.26x = 164,985,538.50
  5. Step 5: Solve for x
    x = 164,985,538.50/12,398.26
  6. Step 6: Final answer
    x = 13,307.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.