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Finding the Fourth Proportional to 14,837.44, 20,467.20 and 10,589.44

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Solution

The fourth proportional to 14,837.44, 20,467.20 and 10,589.44 is: 14,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837.44 : 20,467.20 = 10,589.44 : x
  2. Step 2: Convert to fraction form
    14,837.44/20,467.20 = 10,589.44/x
  3. Step 3: Cross multiply
    14,837.44x = 20,467.20 × 10,589.44
  4. Step 4: Simplify right side
    14,837.44x = 216,736,186.37
  5. Step 5: Solve for x
    x = 216,736,186.37/14,837.44
  6. Step 6: Final answer
    x = 14,607.38

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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.