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Finding the Fourth Proportional to 14,522.86, 21,781.62 and 7,856.22

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Solution

The fourth proportional to 14,522.86, 21,781.62 and 7,856.22 is: 11,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.86 : 21,781.62 = 7,856.22 : x
  2. Step 2: Convert to fraction form
    14,522.86/21,781.62 = 7,856.22/x
  3. Step 3: Cross multiply
    14,522.86x = 21,781.62 × 7,856.22
  4. Step 4: Simplify right side
    14,522.86x = 171,121,198.68
  5. Step 5: Solve for x
    x = 171,121,198.68/14,522.86
  6. Step 6: Final answer
    x = 11,782.89

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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.