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Finding the Fourth Proportional to 16,567.91, 22,872.18 and 12,782.57

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Solution

The fourth proportional to 16,567.91, 22,872.18 and 12,782.57 is: 17,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.91 : 22,872.18 = 12,782.57 : x
  2. Step 2: Convert to fraction form
    16,567.91/22,872.18 = 12,782.57/x
  3. Step 3: Cross multiply
    16,567.91x = 22,872.18 × 12,782.57
  4. Step 4: Simplify right side
    16,567.91x = 292,365,127.54
  5. Step 5: Solve for x
    x = 292,365,127.54/16,567.91
  6. Step 6: Final answer
    x = 17,646.48

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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.