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Finding the Fourth Proportional to 16,567.28, 22,855.31 and 9,849.10

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Solution

The fourth proportional to 16,567.28, 22,855.31 and 9,849.10 is: 13,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.28 : 22,855.31 = 9,849.10 : x
  2. Step 2: Convert to fraction form
    16,567.28/22,855.31 = 9,849.10/x
  3. Step 3: Cross multiply
    16,567.28x = 22,855.31 × 9,849.10
  4. Step 4: Simplify right side
    16,567.28x = 225,104,119.44
  5. Step 5: Solve for x
    x = 225,104,119.44/16,567.28
  6. Step 6: Final answer
    x = 13,587.27

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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.