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Finding the Fourth Proportional to 21,085.63, 31,633.92 and 6,294.54

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Solution

The fourth proportional to 21,085.63, 31,633.92 and 6,294.54 is: 9,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.63 : 31,633.92 = 6,294.54 : x
  2. Step 2: Convert to fraction form
    21,085.63/31,633.92 = 6,294.54/x
  3. Step 3: Cross multiply
    21,085.63x = 31,633.92 × 6,294.54
  4. Step 4: Simplify right side
    21,085.63x = 199,121,093.42
  5. Step 5: Solve for x
    x = 199,121,093.42/21,085.63
  6. Step 6: Final answer
    x = 9,443.45

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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.