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Finding the Fourth Proportional to 12,920.89, 17,832.48 and 7,884.04

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Solution

The fourth proportional to 12,920.89, 17,832.48 and 7,884.04 is: 10,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.89 : 17,832.48 = 7,884.04 : x
  2. Step 2: Convert to fraction form
    12,920.89/17,832.48 = 7,884.04/x
  3. Step 3: Cross multiply
    12,920.89x = 17,832.48 × 7,884.04
  4. Step 4: Simplify right side
    12,920.89x = 140,592,017.24
  5. Step 5: Solve for x
    x = 140,592,017.24/12,920.89
  6. Step 6: Final answer
    x = 10,880.98

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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.