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Finding the Fourth Proportional to 21,095.73, 31,648.14 and 6,305.85

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Solution

The fourth proportional to 21,095.73, 31,648.14 and 6,305.85 is: 9,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.73 : 31,648.14 = 6,305.85 : x
  2. Step 2: Convert to fraction form
    21,095.73/31,648.14 = 6,305.85/x
  3. Step 3: Cross multiply
    21,095.73x = 31,648.14 × 6,305.85
  4. Step 4: Simplify right side
    21,095.73x = 199,568,423.62
  5. Step 5: Solve for x
    x = 199,568,423.62/21,095.73
  6. Step 6: Final answer
    x = 9,460.13

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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.