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Finding the Fourth Proportional to 16,001.69, 22,086.29 and 9,719.33

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Solution

The fourth proportional to 16,001.69, 22,086.29 and 9,719.33 is: 13,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.69 : 22,086.29 = 9,719.33 : x
  2. Step 2: Convert to fraction form
    16,001.69/22,086.29 = 9,719.33/x
  3. Step 3: Cross multiply
    16,001.69x = 22,086.29 × 9,719.33
  4. Step 4: Simplify right side
    16,001.69x = 214,663,892.39
  5. Step 5: Solve for x
    x = 214,663,892.39/16,001.69
  6. Step 6: Final answer
    x = 13,415.08

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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.