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Finding the Fourth Proportional to 21,262.87, 31,901.15 and 6,474.66

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Solution

The fourth proportional to 21,262.87, 31,901.15 and 6,474.66 is: 9,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.87 : 31,901.15 = 6,474.66 : x
  2. Step 2: Convert to fraction form
    21,262.87/31,901.15 = 6,474.66/x
  3. Step 3: Cross multiply
    21,262.87x = 31,901.15 × 6,474.66
  4. Step 4: Simplify right side
    21,262.87x = 206,549,099.86
  5. Step 5: Solve for x
    x = 206,549,099.86/21,262.87
  6. Step 6: Final answer
    x = 9,714.07

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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.