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Finding the Fourth Proportional to 14,005, 19,326.90 and 7,717.96

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Solution

The fourth proportional to 14,005, 19,326.90 and 7,717.96 is: 10,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005 : 19,326.90 = 7,717.96 : x
  2. Step 2: Convert to fraction form
    14,005/19,326.90 = 7,717.96/x
  3. Step 3: Cross multiply
    14,005x = 19,326.90 × 7,717.96
  4. Step 4: Simplify right side
    14,005x = 149,164,241.12
  5. Step 5: Solve for x
    x = 149,164,241.12/14,005
  6. Step 6: Final answer
    x = 10,650.78

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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.