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Finding the Fourth Proportional to 12,312.64, 18,468.96 and 8,179.36

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Solution

The fourth proportional to 12,312.64, 18,468.96 and 8,179.36 is: 12,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.64 : 18,468.96 = 8,179.36 : x
  2. Step 2: Convert to fraction form
    12,312.64/18,468.96 = 8,179.36/x
  3. Step 3: Cross multiply
    12,312.64x = 18,468.96 × 8,179.36
  4. Step 4: Simplify right side
    12,312.64x = 151,064,272.67
  5. Step 5: Solve for x
    x = 151,064,272.67/12,312.64
  6. Step 6: Final answer
    x = 12,269.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.