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Finding the Fourth Proportional to 29,136.26, 40,208.08 and 16,561

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Solution

The fourth proportional to 29,136.26, 40,208.08 and 16,561 is: 22,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,136.26 : 40,208.08 = 16,561 : x
  2. Step 2: Convert to fraction form
    29,136.26/40,208.08 = 16,561/x
  3. Step 3: Cross multiply
    29,136.26x = 40,208.08 × 16,561
  4. Step 4: Simplify right side
    29,136.26x = 665,886,012.88
  5. Step 5: Solve for x
    x = 665,886,012.88/29,136.26
  6. Step 6: Final answer
    x = 22,854.20

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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.