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Finding the Fourth Proportional to 14,134.14, 19,505.47 and 7,761.36

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Solution

The fourth proportional to 14,134.14, 19,505.47 and 7,761.36 is: 10,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.14 : 19,505.47 = 7,761.36 : x
  2. Step 2: Convert to fraction form
    14,134.14/19,505.47 = 7,761.36/x
  3. Step 3: Cross multiply
    14,134.14x = 19,505.47 × 7,761.36
  4. Step 4: Simplify right side
    14,134.14x = 151,388,935.83
  5. Step 5: Solve for x
    x = 151,388,935.83/14,134.14
  6. Step 6: Final answer
    x = 10,710.87

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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.