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Finding the Fourth Proportional to 20,715.60, 31,105.80 and 11,967.60

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Solution

The fourth proportional to 20,715.60, 31,105.80 and 11,967.60 is: 17,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.60 : 31,105.80 = 11,967.60 : x
  2. Step 2: Convert to fraction form
    20,715.60/31,105.80 = 11,967.60/x
  3. Step 3: Cross multiply
    20,715.60x = 31,105.80 × 11,967.60
  4. Step 4: Simplify right side
    20,715.60x = 372,261,772.08
  5. Step 5: Solve for x
    x = 372,261,772.08/20,715.60
  6. Step 6: Final answer
    x = 17,970.12

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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.