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Finding the Fourth Proportional to 13,751.62, 18,977.16 and 7,463.98

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Solution

The fourth proportional to 13,751.62, 18,977.16 and 7,463.98 is: 10,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.62 : 18,977.16 = 7,463.98 : x
  2. Step 2: Convert to fraction form
    13,751.62/18,977.16 = 7,463.98/x
  3. Step 3: Cross multiply
    13,751.62x = 18,977.16 × 7,463.98
  4. Step 4: Simplify right side
    13,751.62x = 141,645,142.70
  5. Step 5: Solve for x
    x = 141,645,142.70/13,751.62
  6. Step 6: Final answer
    x = 10,300.25

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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.