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Finding the Fourth Proportional to 20,703.60, 31,055.40 and 6,850.80

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Solution

The fourth proportional to 20,703.60, 31,055.40 and 6,850.80 is: 10,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.60 : 31,055.40 = 6,850.80 : x
  2. Step 2: Convert to fraction form
    20,703.60/31,055.40 = 6,850.80/x
  3. Step 3: Cross multiply
    20,703.60x = 31,055.40 × 6,850.80
  4. Step 4: Simplify right side
    20,703.60x = 212,754,334.32
  5. Step 5: Solve for x
    x = 212,754,334.32/20,703.60
  6. Step 6: Final answer
    x = 10,276.20

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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.