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Finding the Fourth Proportional to 15,963.82, 22,029.74 and 9,998.78

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Solution

The fourth proportional to 15,963.82, 22,029.74 and 9,998.78 is: 13,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.82 : 22,029.74 = 9,998.78 : x
  2. Step 2: Convert to fraction form
    15,963.82/22,029.74 = 9,998.78/x
  3. Step 3: Cross multiply
    15,963.82x = 22,029.74 × 9,998.78
  4. Step 4: Simplify right side
    15,963.82x = 220,270,401.07
  5. Step 5: Solve for x
    x = 220,270,401.07/15,963.82
  6. Step 6: Final answer
    x = 13,798.10

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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.