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Finding the Fourth Proportional to 14,086.92, 19,438.74 and 7,797.72

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Solution

The fourth proportional to 14,086.92, 19,438.74 and 7,797.72 is: 10,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.92 : 19,438.74 = 7,797.72 : x
  2. Step 2: Convert to fraction form
    14,086.92/19,438.74 = 7,797.72/x
  3. Step 3: Cross multiply
    14,086.92x = 19,438.74 × 7,797.72
  4. Step 4: Simplify right side
    14,086.92x = 151,577,851.67
  5. Step 5: Solve for x
    x = 151,577,851.67/14,086.92
  6. Step 6: Final answer
    x = 10,760.18

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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.