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Finding the Fourth Proportional to 14,140.72, 19,517.72 and 8,175.84

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Solution

The fourth proportional to 14,140.72, 19,517.72 and 8,175.84 is: 11,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.72 : 19,517.72 = 8,175.84 : x
  2. Step 2: Convert to fraction form
    14,140.72/19,517.72 = 8,175.84/x
  3. Step 3: Cross multiply
    14,140.72x = 19,517.72 × 8,175.84
  4. Step 4: Simplify right side
    14,140.72x = 159,573,755.88
  5. Step 5: Solve for x
    x = 159,573,755.88/14,140.72
  6. Step 6: Final answer
    x = 11,284.70

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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.