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Finding the Fourth Proportional to 16,567.16, 22,871.15 and 12,781.82

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Solution

The fourth proportional to 16,567.16, 22,871.15 and 12,781.82 is: 17,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.16 : 22,871.15 = 12,781.82 : x
  2. Step 2: Convert to fraction form
    16,567.16/22,871.15 = 12,781.82/x
  3. Step 3: Cross multiply
    16,567.16x = 22,871.15 × 12,781.82
  4. Step 4: Simplify right side
    16,567.16x = 292,334,744.23
  5. Step 5: Solve for x
    x = 292,334,744.23/16,567.16
  6. Step 6: Final answer
    x = 17,645.44

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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.