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Finding the Fourth Proportional to 16,565.28, 22,852.56 and 9,847.09

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Solution

The fourth proportional to 16,565.28, 22,852.56 and 9,847.09 is: 13,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.28 : 22,852.56 = 9,847.09 : x
  2. Step 2: Convert to fraction form
    16,565.28/22,852.56 = 9,847.09/x
  3. Step 3: Cross multiply
    16,565.28x = 22,852.56 × 9,847.09
  4. Step 4: Simplify right side
    16,565.28x = 225,031,206.69
  5. Step 5: Solve for x
    x = 225,031,206.69/16,565.28
  6. Step 6: Final answer
    x = 13,584.51

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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.