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Finding the Fourth Proportional to 21,128.33, 31,689.31 and 7,085.97

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Solution

The fourth proportional to 21,128.33, 31,689.31 and 7,085.97 is: 10,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,128.33 : 31,689.31 = 7,085.97 : x
  2. Step 2: Convert to fraction form
    21,128.33/31,689.31 = 7,085.97/x
  3. Step 3: Cross multiply
    21,128.33x = 31,689.31 × 7,085.97
  4. Step 4: Simplify right side
    21,128.33x = 224,549,499.98
  5. Step 5: Solve for x
    x = 224,549,499.98/21,128.33
  6. Step 6: Final answer
    x = 10,627.89

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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.