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Finding the Fourth Proportional to 12,885.24, 17,775.18 and 8,162.04

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Solution

The fourth proportional to 12,885.24, 17,775.18 and 8,162.04 is: 11,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.24 : 17,775.18 = 8,162.04 : x
  2. Step 2: Convert to fraction form
    12,885.24/17,775.18 = 8,162.04/x
  3. Step 3: Cross multiply
    12,885.24x = 17,775.18 × 8,162.04
  4. Step 4: Simplify right side
    12,885.24x = 145,081,730.17
  5. Step 5: Solve for x
    x = 145,081,730.17/12,885.24
  6. Step 6: Final answer
    x = 11,259.53

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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.