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Finding the Fourth Proportional to 16,006.69, 22,093.19 and 9,724.33

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Solution

The fourth proportional to 16,006.69, 22,093.19 and 9,724.33 is: 13,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.69 : 22,093.19 = 9,724.33 : x
  2. Step 2: Convert to fraction form
    16,006.69/22,093.19 = 9,724.33/x
  3. Step 3: Cross multiply
    16,006.69x = 22,093.19 × 9,724.33
  4. Step 4: Simplify right side
    16,006.69x = 214,841,470.31
  5. Step 5: Solve for x
    x = 214,841,470.31/16,006.69
  6. Step 6: Final answer
    x = 13,421.98

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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.