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Finding the Fourth Proportional to 20,596.44, 30,897.09 and 15,435.12

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Solution

The fourth proportional to 20,596.44, 30,897.09 and 15,435.12 is: 23,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.44 : 30,897.09 = 15,435.12 : x
  2. Step 2: Convert to fraction form
    20,596.44/30,897.09 = 15,435.12/x
  3. Step 3: Cross multiply
    20,596.44x = 30,897.09 × 15,435.12
  4. Step 4: Simplify right side
    20,596.44x = 476,900,291.80
  5. Step 5: Solve for x
    x = 476,900,291.80/20,596.44
  6. Step 6: Final answer
    x = 23,154.50

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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.