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Finding the Fourth Proportional to 16,001.97, 22,076.55 and 10,023.23

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Solution

The fourth proportional to 16,001.97, 22,076.55 and 10,023.23 is: 13,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.97 : 22,076.55 = 10,023.23 : x
  2. Step 2: Convert to fraction form
    16,001.97/22,076.55 = 10,023.23/x
  3. Step 3: Cross multiply
    16,001.97x = 22,076.55 × 10,023.23
  4. Step 4: Simplify right side
    16,001.97x = 221,278,252.93
  5. Step 5: Solve for x
    x = 221,278,252.93/16,001.97
  6. Step 6: Final answer
    x = 13,828.19

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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.