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Finding the Fourth Proportional to 13,722.98, 18,937.64 and 7,435.38

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Solution

The fourth proportional to 13,722.98, 18,937.64 and 7,435.38 is: 10,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.98 : 18,937.64 = 7,435.38 : x
  2. Step 2: Convert to fraction form
    13,722.98/18,937.64 = 7,435.38/x
  3. Step 3: Cross multiply
    13,722.98x = 18,937.64 × 7,435.38
  4. Step 4: Simplify right side
    13,722.98x = 140,808,549.70
  5. Step 5: Solve for x
    x = 140,808,549.70/13,722.98
  6. Step 6: Final answer
    x = 10,260.79

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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.