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Finding the Fourth Proportional to 14,006.97, 21,010.47 and 8,092.86

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Solution

The fourth proportional to 14,006.97, 21,010.47 and 8,092.86 is: 12,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.97 : 21,010.47 = 8,092.86 : x
  2. Step 2: Convert to fraction form
    14,006.97/21,010.47 = 8,092.86/x
  3. Step 3: Cross multiply
    14,006.97x = 21,010.47 × 8,092.86
  4. Step 4: Simplify right side
    14,006.97x = 170,034,792.24
  5. Step 5: Solve for x
    x = 170,034,792.24/14,006.97
  6. Step 6: Final answer
    x = 12,139.30

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