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Finding the Fourth Proportional to 12,577.14, 17,348.58 and 8,096.22

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Solution

The fourth proportional to 12,577.14, 17,348.58 and 8,096.22 is: 11,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.14 : 17,348.58 = 8,096.22 : x
  2. Step 2: Convert to fraction form
    12,577.14/17,348.58 = 8,096.22/x
  3. Step 3: Cross multiply
    12,577.14x = 17,348.58 × 8,096.22
  4. Step 4: Simplify right side
    12,577.14x = 140,457,920.37
  5. Step 5: Solve for x
    x = 140,457,920.37/12,577.14
  6. Step 6: Final answer
    x = 11,167.72

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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.