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Finding the Fourth Proportional to 13,166, 19,752.12 and 3,932.24

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Solution

The fourth proportional to 13,166, 19,752.12 and 3,932.24 is: 5,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166 : 19,752.12 = 3,932.24 : x
  2. Step 2: Convert to fraction form
    13,166/19,752.12 = 3,932.24/x
  3. Step 3: Cross multiply
    13,166x = 19,752.12 × 3,932.24
  4. Step 4: Simplify right side
    13,166x = 77,670,076.35
  5. Step 5: Solve for x
    x = 77,670,076.35/13,166
  6. Step 6: Final answer
    x = 5,899.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.