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Finding the Fourth Proportional to 13,415.90, 20,123.85 and 8,224.70

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Solution

The fourth proportional to 13,415.90, 20,123.85 and 8,224.70 is: 12,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.90 : 20,123.85 = 8,224.70 : x
  2. Step 2: Convert to fraction form
    13,415.90/20,123.85 = 8,224.70/x
  3. Step 3: Cross multiply
    13,415.90x = 20,123.85 × 8,224.70
  4. Step 4: Simplify right side
    13,415.90x = 165,512,629.10
  5. Step 5: Solve for x
    x = 165,512,629.10/13,415.90
  6. Step 6: Final answer
    x = 12,337.05

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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.