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Finding the Fourth Proportional to 12,920.13, 17,832.55 and 7,883.27

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Solution

The fourth proportional to 12,920.13, 17,832.55 and 7,883.27 is: 10,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.13 : 17,832.55 = 7,883.27 : x
  2. Step 2: Convert to fraction form
    12,920.13/17,832.55 = 7,883.27/x
  3. Step 3: Cross multiply
    12,920.13x = 17,832.55 × 7,883.27
  4. Step 4: Simplify right side
    12,920.13x = 140,578,717.28
  5. Step 5: Solve for x
    x = 140,578,717.28/12,920.13
  6. Step 6: Final answer
    x = 10,880.60

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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.