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Finding the Fourth Proportional to 12,133.23, 16,736.04 and 7,824.42

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Solution

The fourth proportional to 12,133.23, 16,736.04 and 7,824.42 is: 10,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.23 : 16,736.04 = 7,824.42 : x
  2. Step 2: Convert to fraction form
    12,133.23/16,736.04 = 7,824.42/x
  3. Step 3: Cross multiply
    12,133.23x = 16,736.04 × 7,824.42
  4. Step 4: Simplify right side
    12,133.23x = 130,949,806.10
  5. Step 5: Solve for x
    x = 130,949,806.10/12,133.23
  6. Step 6: Final answer
    x = 10,792.66

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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.