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Finding the Fourth Proportional to 20,850.40, 31,279.16 and 7,702.84

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Solution

The fourth proportional to 20,850.40, 31,279.16 and 7,702.84 is: 11,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.40 : 31,279.16 = 7,702.84 : x
  2. Step 2: Convert to fraction form
    20,850.40/31,279.16 = 7,702.84/x
  3. Step 3: Cross multiply
    20,850.40x = 31,279.16 × 7,702.84
  4. Step 4: Simplify right side
    20,850.40x = 240,938,364.81
  5. Step 5: Solve for x
    x = 240,938,364.81/20,850.40
  6. Step 6: Final answer
    x = 11,555.58

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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.