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Finding the Fourth Proportional to 14,086.14, 19,438.70 and 7,712.65

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Solution

The fourth proportional to 14,086.14, 19,438.70 and 7,712.65 is: 10,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.14 : 19,438.70 = 7,712.65 : x
  2. Step 2: Convert to fraction form
    14,086.14/19,438.70 = 7,712.65/x
  3. Step 3: Cross multiply
    14,086.14x = 19,438.70 × 7,712.65
  4. Step 4: Simplify right side
    14,086.14x = 149,923,889.56
  5. Step 5: Solve for x
    x = 149,923,889.56/14,086.14
  6. Step 6: Final answer
    x = 10,643.36

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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.