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Finding the Fourth Proportional to 21,316.60, 31,974.60 and 9,629.80

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Solution

The fourth proportional to 21,316.60, 31,974.60 and 9,629.80 is: 14,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.60 : 31,974.60 = 9,629.80 : x
  2. Step 2: Convert to fraction form
    21,316.60/31,974.60 = 9,629.80/x
  3. Step 3: Cross multiply
    21,316.60x = 31,974.60 × 9,629.80
  4. Step 4: Simplify right side
    21,316.60x = 307,909,003.08
  5. Step 5: Solve for x
    x = 307,909,003.08/21,316.60
  6. Step 6: Final answer
    x = 14,444.56

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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.