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Finding the Fourth Proportional to 14,069.84, 19,418.21 and 8,101.76

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Solution

The fourth proportional to 14,069.84, 19,418.21 and 8,101.76 is: 11,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.84 : 19,418.21 = 8,101.76 : x
  2. Step 2: Convert to fraction form
    14,069.84/19,418.21 = 8,101.76/x
  3. Step 3: Cross multiply
    14,069.84x = 19,418.21 × 8,101.76
  4. Step 4: Simplify right side
    14,069.84x = 157,321,539.45
  5. Step 5: Solve for x
    x = 157,321,539.45/14,069.84
  6. Step 6: Final answer
    x = 11,181.48

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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.