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Finding the Fourth Proportional to 13,902.60, 20,853.90 and 5,135.70

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Solution

The fourth proportional to 13,902.60, 20,853.90 and 5,135.70 is: 7,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.60 : 20,853.90 = 5,135.70 : x
  2. Step 2: Convert to fraction form
    13,902.60/20,853.90 = 5,135.70/x
  3. Step 3: Cross multiply
    13,902.60x = 20,853.90 × 5,135.70
  4. Step 4: Simplify right side
    13,902.60x = 107,099,374.23
  5. Step 5: Solve for x
    x = 107,099,374.23/13,902.60
  6. Step 6: Final answer
    x = 7,703.55

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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.