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Finding the Fourth Proportional to 14,469.86, 19,967.82 and 8,182.34

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Solution

The fourth proportional to 14,469.86, 19,967.82 and 8,182.34 is: 11,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.86 : 19,967.82 = 8,182.34 : x
  2. Step 2: Convert to fraction form
    14,469.86/19,967.82 = 8,182.34/x
  3. Step 3: Cross multiply
    14,469.86x = 19,967.82 × 8,182.34
  4. Step 4: Simplify right side
    14,469.86x = 163,383,492.30
  5. Step 5: Solve for x
    x = 163,383,492.30/14,469.86
  6. Step 6: Final answer
    x = 11,291.30

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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.