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Finding the Fourth Proportional to 18,040.16, 27,053.74 and 6,941.20

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Solution

The fourth proportional to 18,040.16, 27,053.74 and 6,941.20 is: 10,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040.16 : 27,053.74 = 6,941.20 : x
  2. Step 2: Convert to fraction form
    18,040.16/27,053.74 = 6,941.20/x
  3. Step 3: Cross multiply
    18,040.16x = 27,053.74 × 6,941.20
  4. Step 4: Simplify right side
    18,040.16x = 187,785,420.09
  5. Step 5: Solve for x
    x = 187,785,420.09/18,040.16
  6. Step 6: Final answer
    x = 10,409.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.