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Finding the Fourth Proportional to 12,897.07, 17,790.39 and 8,109.42

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Solution

The fourth proportional to 12,897.07, 17,790.39 and 8,109.42 is: 11,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.07 : 17,790.39 = 8,109.42 : x
  2. Step 2: Convert to fraction form
    12,897.07/17,790.39 = 8,109.42/x
  3. Step 3: Cross multiply
    12,897.07x = 17,790.39 × 8,109.42
  4. Step 4: Simplify right side
    12,897.07x = 144,269,744.47
  5. Step 5: Solve for x
    x = 144,269,744.47/12,897.07
  6. Step 6: Final answer
    x = 11,186.25

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