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Finding the Fourth Proportional to 14,640.38, 20,203.74 and 7,926.01

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Solution

The fourth proportional to 14,640.38, 20,203.74 and 7,926.01 is: 10,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.38 : 20,203.74 = 7,926.01 : x
  2. Step 2: Convert to fraction form
    14,640.38/20,203.74 = 7,926.01/x
  3. Step 3: Cross multiply
    14,640.38x = 20,203.74 × 7,926.01
  4. Step 4: Simplify right side
    14,640.38x = 160,135,040.81
  5. Step 5: Solve for x
    x = 160,135,040.81/14,640.38
  6. Step 6: Final answer
    x = 10,937.90

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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.