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Finding the Fourth Proportional to 18,400.26, 25,395.68 and 10,846.16

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Solution

The fourth proportional to 18,400.26, 25,395.68 and 10,846.16 is: 14,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.26 : 25,395.68 = 10,846.16 : x
  2. Step 2: Convert to fraction form
    18,400.26/25,395.68 = 10,846.16/x
  3. Step 3: Cross multiply
    18,400.26x = 25,395.68 × 10,846.16
  4. Step 4: Simplify right side
    18,400.26x = 275,445,427.38
  5. Step 5: Solve for x
    x = 275,445,427.38/18,400.26
  6. Step 6: Final answer
    x = 14,969.65

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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.