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Finding the Fourth Proportional to 20,697.60, 31,046.40 and 13,261.80

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Solution

The fourth proportional to 20,697.60, 31,046.40 and 13,261.80 is: 19,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.60 : 31,046.40 = 13,261.80 : x
  2. Step 2: Convert to fraction form
    20,697.60/31,046.40 = 13,261.80/x
  3. Step 3: Cross multiply
    20,697.60x = 31,046.40 × 13,261.80
  4. Step 4: Simplify right side
    20,697.60x = 411,731,147.52
  5. Step 5: Solve for x
    x = 411,731,147.52/20,697.60
  6. Step 6: Final answer
    x = 19,892.70

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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.