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Finding the Fourth Proportional to 14,965.88, 20,651.96 and 8,251.14

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Solution

The fourth proportional to 14,965.88, 20,651.96 and 8,251.14 is: 11,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.88 : 20,651.96 = 8,251.14 : x
  2. Step 2: Convert to fraction form
    14,965.88/20,651.96 = 8,251.14/x
  3. Step 3: Cross multiply
    14,965.88x = 20,651.96 × 8,251.14
  4. Step 4: Simplify right side
    14,965.88x = 170,402,213.23
  5. Step 5: Solve for x
    x = 170,402,213.23/14,965.88
  6. Step 6: Final answer
    x = 11,386.05

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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.