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Finding the Fourth Proportional to 21,002.83, 31,504.14 and 6,211.82

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Solution

The fourth proportional to 21,002.83, 31,504.14 and 6,211.82 is: 9,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.83 : 31,504.14 = 6,211.82 : x
  2. Step 2: Convert to fraction form
    21,002.83/31,504.14 = 6,211.82/x
  3. Step 3: Cross multiply
    21,002.83x = 31,504.14 × 6,211.82
  4. Step 4: Simplify right side
    21,002.83x = 195,698,125.70
  5. Step 5: Solve for x
    x = 195,698,125.70/21,002.83
  6. Step 6: Final answer
    x = 9,317.70

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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.