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Finding the Fourth Proportional to 13,406.38, 18,501.01 and 7,438.30

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Solution

The fourth proportional to 13,406.38, 18,501.01 and 7,438.30 is: 10,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.38 : 18,501.01 = 7,438.30 : x
  2. Step 2: Convert to fraction form
    13,406.38/18,501.01 = 7,438.30/x
  3. Step 3: Cross multiply
    13,406.38x = 18,501.01 × 7,438.30
  4. Step 4: Simplify right side
    13,406.38x = 137,615,997.83
  5. Step 5: Solve for x
    x = 137,615,997.83/13,406.38
  6. Step 6: Final answer
    x = 10,264.97

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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.