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Finding the Fourth Proportional to 20,493.78, 28,282.46 and 12,533.50

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Solution

The fourth proportional to 20,493.78, 28,282.46 and 12,533.50 is: 17,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.78 : 28,282.46 = 12,533.50 : x
  2. Step 2: Convert to fraction form
    20,493.78/28,282.46 = 12,533.50/x
  3. Step 3: Cross multiply
    20,493.78x = 28,282.46 × 12,533.50
  4. Step 4: Simplify right side
    20,493.78x = 354,478,212.41
  5. Step 5: Solve for x
    x = 354,478,212.41/20,493.78
  6. Step 6: Final answer
    x = 17,296.87

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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.