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Finding the Fourth Proportional to 14,291.30, 21,422.82 and 6,781.67

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Solution

The fourth proportional to 14,291.30, 21,422.82 and 6,781.67 is: 10,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.30 : 21,422.82 = 6,781.67 : x
  2. Step 2: Convert to fraction form
    14,291.30/21,422.82 = 6,781.67/x
  3. Step 3: Cross multiply
    14,291.30x = 21,422.82 × 6,781.67
  4. Step 4: Simplify right side
    14,291.30x = 145,282,388.60
  5. Step 5: Solve for x
    x = 145,282,388.60/14,291.30
  6. Step 6: Final answer
    x = 10,165.80

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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.