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Finding the Fourth Proportional to 20,853.54, 31,277.07 and 7,702.92

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Solution

The fourth proportional to 20,853.54, 31,277.07 and 7,702.92 is: 11,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.54 : 31,277.07 = 7,702.92 : x
  2. Step 2: Convert to fraction form
    20,853.54/31,277.07 = 7,702.92/x
  3. Step 3: Cross multiply
    20,853.54x = 31,277.07 × 7,702.92
  4. Step 4: Simplify right side
    20,853.54x = 240,924,768.04
  5. Step 5: Solve for x
    x = 240,924,768.04/20,853.54
  6. Step 6: Final answer
    x = 11,553.18

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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.