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Finding the Fourth Proportional to 20,980.60, 31,470.90 and 7,129.60

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Solution

The fourth proportional to 20,980.60, 31,470.90 and 7,129.60 is: 10,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.60 : 31,470.90 = 7,129.60 : x
  2. Step 2: Convert to fraction form
    20,980.60/31,470.90 = 7,129.60/x
  3. Step 3: Cross multiply
    20,980.60x = 31,470.90 × 7,129.60
  4. Step 4: Simplify right side
    20,980.60x = 224,374,928.64
  5. Step 5: Solve for x
    x = 224,374,928.64/20,980.60
  6. Step 6: Final answer
    x = 10,694.40

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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.