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Finding the Fourth Proportional to 20,564.69, 30,803.95 and 13,131.26

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Solution

The fourth proportional to 20,564.69, 30,803.95 and 13,131.26 is: 19,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.69 : 30,803.95 = 13,131.26 : x
  2. Step 2: Convert to fraction form
    20,564.69/30,803.95 = 13,131.26/x
  3. Step 3: Cross multiply
    20,564.69x = 30,803.95 × 13,131.26
  4. Step 4: Simplify right side
    20,564.69x = 404,494,753.80
  5. Step 5: Solve for x
    x = 404,494,753.80/20,564.69
  6. Step 6: Final answer
    x = 19,669.39

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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.