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Finding the Fourth Proportional to 17,649.36, 26,466.98 and 7,781.63

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Solution

The fourth proportional to 17,649.36, 26,466.98 and 7,781.63 is: 11,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.36 : 26,466.98 = 7,781.63 : x
  2. Step 2: Convert to fraction form
    17,649.36/26,466.98 = 7,781.63/x
  3. Step 3: Cross multiply
    17,649.36x = 26,466.98 × 7,781.63
  4. Step 4: Simplify right side
    17,649.36x = 205,956,074.33
  5. Step 5: Solve for x
    x = 205,956,074.33/17,649.36
  6. Step 6: Final answer
    x = 11,669.32

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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.