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Finding the Fourth Proportional to 20,499.49, 28,292.46 and 12,434.47

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Solution

The fourth proportional to 20,499.49, 28,292.46 and 12,434.47 is: 17,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.49 : 28,292.46 = 12,434.47 : x
  2. Step 2: Convert to fraction form
    20,499.49/28,292.46 = 12,434.47/x
  3. Step 3: Cross multiply
    20,499.49x = 28,292.46 × 12,434.47
  4. Step 4: Simplify right side
    20,499.49x = 351,801,745.10
  5. Step 5: Solve for x
    x = 351,801,745.10/20,499.49
  6. Step 6: Final answer
    x = 17,161.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.