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Finding the Fourth Proportional to 13,751.55, 18,977.16 and 7,463.94

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Solution

The fourth proportional to 13,751.55, 18,977.16 and 7,463.94 is: 10,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.55 : 18,977.16 = 7,463.94 : x
  2. Step 2: Convert to fraction form
    13,751.55/18,977.16 = 7,463.94/x
  3. Step 3: Cross multiply
    13,751.55x = 18,977.16 × 7,463.94
  4. Step 4: Simplify right side
    13,751.55x = 141,644,383.61
  5. Step 5: Solve for x
    x = 141,644,383.61/13,751.55
  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.