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Finding the Fourth Proportional to 21,568, 29,760.60 and 12,136.36

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Solution

The fourth proportional to 21,568, 29,760.60 and 12,136.36 is: 16,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568 : 29,760.60 = 12,136.36 : x
  2. Step 2: Convert to fraction form
    21,568/29,760.60 = 12,136.36/x
  3. Step 3: Cross multiply
    21,568x = 29,760.60 × 12,136.36
  4. Step 4: Simplify right side
    21,568x = 361,185,355.42
  5. Step 5: Solve for x
    x = 361,185,355.42/21,568
  6. Step 6: Final answer
    x = 16,746.35

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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.