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Finding the Fourth Proportional to 21,162.48, 31,758.33 and 7,311.48

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Solution

The fourth proportional to 21,162.48, 31,758.33 and 7,311.48 is: 10,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.48 : 31,758.33 = 7,311.48 : x
  2. Step 2: Convert to fraction form
    21,162.48/31,758.33 = 7,311.48/x
  3. Step 3: Cross multiply
    21,162.48x = 31,758.33 × 7,311.48
  4. Step 4: Simplify right side
    21,162.48x = 232,200,394.63
  5. Step 5: Solve for x
    x = 232,200,394.63/21,162.48
  6. Step 6: Final answer
    x = 10,972.27

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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.