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Finding the Fourth Proportional to 14,351.09, 21,501.86 and 7,781.85

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Solution

The fourth proportional to 14,351.09, 21,501.86 and 7,781.85 is: 11,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.09 : 21,501.86 = 7,781.85 : x
  2. Step 2: Convert to fraction form
    14,351.09/21,501.86 = 7,781.85/x
  3. Step 3: Cross multiply
    14,351.09x = 21,501.86 × 7,781.85
  4. Step 4: Simplify right side
    14,351.09x = 167,324,210.33
  5. Step 5: Solve for x
    x = 167,324,210.33/14,351.09
  6. Step 6: Final answer
    x = 11,659.34

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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.