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Finding the Fourth Proportional to 14,093.68, 19,449.30 and 7,805.92

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Solution

The fourth proportional to 14,093.68, 19,449.30 and 7,805.92 is: 10,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.68 : 19,449.30 = 7,805.92 : x
  2. Step 2: Convert to fraction form
    14,093.68/19,449.30 = 7,805.92/x
  3. Step 3: Cross multiply
    14,093.68x = 19,449.30 × 7,805.92
  4. Step 4: Simplify right side
    14,093.68x = 151,819,679.86
  5. Step 5: Solve for x
    x = 151,819,679.86/14,093.68
  6. Step 6: Final answer
    x = 10,772.18

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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.