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Finding the Fourth Proportional to 13,751.56, 18,977.17 and 7,463.94

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Solution

The fourth proportional to 13,751.56, 18,977.17 and 7,463.94 is: 10,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.56 : 18,977.17 = 7,463.94 : x
  2. Step 2: Convert to fraction form
    13,751.56/18,977.17 = 7,463.94/x
  3. Step 3: Cross multiply
    13,751.56x = 18,977.17 × 7,463.94
  4. Step 4: Simplify right side
    13,751.56x = 141,644,363.36
  5. Step 5: Solve for x
    x = 141,644,363.36/13,751.56
  6. Step 6: Final answer
    x = 10,300.24

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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.