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Finding the Fourth Proportional to 21,085.59, 31,629.69 and 7,046.88

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Solution

The fourth proportional to 21,085.59, 31,629.69 and 7,046.88 is: 10,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.59 : 31,629.69 = 7,046.88 : x
  2. Step 2: Convert to fraction form
    21,085.59/31,629.69 = 7,046.88/x
  3. Step 3: Cross multiply
    21,085.59x = 31,629.69 × 7,046.88
  4. Step 4: Simplify right side
    21,085.59x = 222,890,629.87
  5. Step 5: Solve for x
    x = 222,890,629.87/21,085.59
  6. Step 6: Final answer
    x = 10,570.76

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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.