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Finding the Fourth Proportional to 21,085.98, 31,627.89 and 6,295.02

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Solution

The fourth proportional to 21,085.98, 31,627.89 and 6,295.02 is: 9,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.98 : 31,627.89 = 6,295.02 : x
  2. Step 2: Convert to fraction form
    21,085.98/31,627.89 = 6,295.02/x
  3. Step 3: Cross multiply
    21,085.98x = 31,627.89 × 6,295.02
  4. Step 4: Simplify right side
    21,085.98x = 199,098,200.11
  5. Step 5: Solve for x
    x = 199,098,200.11/21,085.98
  6. Step 6: Final answer
    x = 9,442.21

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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.