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Finding the Fourth Proportional to 12,887.20, 17,792.90 and 9,897.69

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Solution

The fourth proportional to 12,887.20, 17,792.90 and 9,897.69 is: 13,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.20 : 17,792.90 = 9,897.69 : x
  2. Step 2: Convert to fraction form
    12,887.20/17,792.90 = 9,897.69/x
  3. Step 3: Cross multiply
    12,887.20x = 17,792.90 × 9,897.69
  4. Step 4: Simplify right side
    12,887.20x = 176,108,633.15
  5. Step 5: Solve for x
    x = 176,108,633.15/12,887.20
  6. Step 6: Final answer
    x = 13,665.39

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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.