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Finding the Fourth Proportional to 12,815.94, 17,679.24 and 8,830.20

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Solution

The fourth proportional to 12,815.94, 17,679.24 and 8,830.20 is: 12,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.94 : 17,679.24 = 8,830.20 : x
  2. Step 2: Convert to fraction form
    12,815.94/17,679.24 = 8,830.20/x
  3. Step 3: Cross multiply
    12,815.94x = 17,679.24 × 8,830.20
  4. Step 4: Simplify right side
    12,815.94x = 156,111,225.05
  5. Step 5: Solve for x
    x = 156,111,225.05/12,815.94
  6. Step 6: Final answer
    x = 12,181.02

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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.