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Finding the Fourth Proportional to 20,598.26, 30,897.54 and 13,488.48

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Solution

The fourth proportional to 20,598.26, 30,897.54 and 13,488.48 is: 20,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.26 : 30,897.54 = 13,488.48 : x
  2. Step 2: Convert to fraction form
    20,598.26/30,897.54 = 13,488.48/x
  3. Step 3: Cross multiply
    20,598.26x = 30,897.54 × 13,488.48
  4. Step 4: Simplify right side
    20,598.26x = 416,760,850.34
  5. Step 5: Solve for x
    x = 416,760,850.34/20,598.26
  6. Step 6: Final answer
    x = 20,232.82

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