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Finding the Fourth Proportional to 21,262.30, 31,894.59 and 6,471.70

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Solution

The fourth proportional to 21,262.30, 31,894.59 and 6,471.70 is: 9,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.30 : 31,894.59 = 6,471.70 : x
  2. Step 2: Convert to fraction form
    21,262.30/31,894.59 = 6,471.70/x
  3. Step 3: Cross multiply
    21,262.30x = 31,894.59 × 6,471.70
  4. Step 4: Simplify right side
    21,262.30x = 206,412,218.10
  5. Step 5: Solve for x
    x = 206,412,218.10/21,262.30
  6. Step 6: Final answer
    x = 9,707.90

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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.