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Finding the Fourth Proportional to 21,568.16, 29,764 and 12,136.92

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Solution

The fourth proportional to 21,568.16, 29,764 and 12,136.92 is: 16,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.16 : 29,764 = 12,136.92 : x
  2. Step 2: Convert to fraction form
    21,568.16/29,764 = 12,136.92/x
  3. Step 3: Cross multiply
    21,568.16x = 29,764 × 12,136.92
  4. Step 4: Simplify right side
    21,568.16x = 361,243,286.88
  5. Step 5: Solve for x
    x = 361,243,286.88/21,568.16
  6. Step 6: Final answer
    x = 16,748.92

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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.