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Finding the Fourth Proportional to 16,519.75, 22,782.13 and 10,852.25

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Solution

The fourth proportional to 16,519.75, 22,782.13 and 10,852.25 is: 14,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.75 : 22,782.13 = 10,852.25 : x
  2. Step 2: Convert to fraction form
    16,519.75/22,782.13 = 10,852.25/x
  3. Step 3: Cross multiply
    16,519.75x = 22,782.13 × 10,852.25
  4. Step 4: Simplify right side
    16,519.75x = 247,237,229.25
  5. Step 5: Solve for x
    x = 247,237,229.25/16,519.75
  6. Step 6: Final answer
    x = 14,966.16

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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.