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Finding the Fourth Proportional to 14,469.32, 19,968 and 8,181.74

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Solution

The fourth proportional to 14,469.32, 19,968 and 8,181.74 is: 11,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.32 : 19,968 = 8,181.74 : x
  2. Step 2: Convert to fraction form
    14,469.32/19,968 = 8,181.74/x
  3. Step 3: Cross multiply
    14,469.32x = 19,968 × 8,181.74
  4. Step 4: Simplify right side
    14,469.32x = 163,372,984.32
  5. Step 5: Solve for x
    x = 163,372,984.32/14,469.32
  6. Step 6: Final answer
    x = 11,290.99

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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.