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Finding the Fourth Proportional to 21,182.40, 31,768.74 and 6,391.26

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Solution

The fourth proportional to 21,182.40, 31,768.74 and 6,391.26 is: 9,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.40 : 31,768.74 = 6,391.26 : x
  2. Step 2: Convert to fraction form
    21,182.40/31,768.74 = 6,391.26/x
  3. Step 3: Cross multiply
    21,182.40x = 31,768.74 × 6,391.26
  4. Step 4: Simplify right side
    21,182.40x = 203,042,277.21
  5. Step 5: Solve for x
    x = 203,042,277.21/21,182.40
  6. Step 6: Final answer
    x = 9,585.42

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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.