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Finding the Fourth Proportional to 14,005.54, 19,327.26 and 7,717.78

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Solution

The fourth proportional to 14,005.54, 19,327.26 and 7,717.78 is: 10,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.54 : 19,327.26 = 7,717.78 : x
  2. Step 2: Convert to fraction form
    14,005.54/19,327.26 = 7,717.78/x
  3. Step 3: Cross multiply
    14,005.54x = 19,327.26 × 7,717.78
  4. Step 4: Simplify right side
    14,005.54x = 149,163,540.68
  5. Step 5: Solve for x
    x = 149,163,540.68/14,005.54
  6. Step 6: Final answer
    x = 10,650.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.