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Finding the Fourth Proportional to 14,476.86, 19,962.21 and 9,431.73

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Solution

The fourth proportional to 14,476.86, 19,962.21 and 9,431.73 is: 13,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.86 : 19,962.21 = 9,431.73 : x
  2. Step 2: Convert to fraction form
    14,476.86/19,962.21 = 9,431.73/x
  3. Step 3: Cross multiply
    14,476.86x = 19,962.21 × 9,431.73
  4. Step 4: Simplify right side
    14,476.86x = 188,278,174.92
  5. Step 5: Solve for x
    x = 188,278,174.92/14,476.86
  6. Step 6: Final answer
    x = 13,005.46

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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.