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Finding the Fourth Proportional to 14,047.92, 19,386 and 7,760.36

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Solution

The fourth proportional to 14,047.92, 19,386 and 7,760.36 is: 10,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.92 : 19,386 = 7,760.36 : x
  2. Step 2: Convert to fraction form
    14,047.92/19,386 = 7,760.36/x
  3. Step 3: Cross multiply
    14,047.92x = 19,386 × 7,760.36
  4. Step 4: Simplify right side
    14,047.92x = 150,442,338.96
  5. Step 5: Solve for x
    x = 150,442,338.96/14,047.92
  6. Step 6: Final answer
    x = 10,709.23

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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.