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Finding the Fourth Proportional to 14,029.14, 19,359.63 and 7,741.38

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Solution

The fourth proportional to 14,029.14, 19,359.63 and 7,741.38 is: 10,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.14 : 19,359.63 = 7,741.38 : x
  2. Step 2: Convert to fraction form
    14,029.14/19,359.63 = 7,741.38/x
  3. Step 3: Cross multiply
    14,029.14x = 19,359.63 × 7,741.38
  4. Step 4: Simplify right side
    14,029.14x = 149,870,252.49
  5. Step 5: Solve for x
    x = 149,870,252.49/14,029.14
  6. Step 6: Final answer
    x = 10,682.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.