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Finding the Fourth Proportional to 16,567.82, 24,832.89 and 8,658.14

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Solution

The fourth proportional to 16,567.82, 24,832.89 and 8,658.14 is: 12,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.82 : 24,832.89 = 8,658.14 : x
  2. Step 2: Convert to fraction form
    16,567.82/24,832.89 = 8,658.14/x
  3. Step 3: Cross multiply
    16,567.82x = 24,832.89 × 8,658.14
  4. Step 4: Simplify right side
    16,567.82x = 215,006,638.22
  5. Step 5: Solve for x
    x = 215,006,638.22/16,567.82
  6. Step 6: Final answer
    x = 12,977.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.