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Finding the Fourth Proportional to 13,821.15, 19,069.79 and 8,442.21

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Solution

The fourth proportional to 13,821.15, 19,069.79 and 8,442.21 is: 11,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.15 : 19,069.79 = 8,442.21 : x
  2. Step 2: Convert to fraction form
    13,821.15/19,069.79 = 8,442.21/x
  3. Step 3: Cross multiply
    13,821.15x = 19,069.79 × 8,442.21
  4. Step 4: Simplify right side
    13,821.15x = 160,991,129.62
  5. Step 5: Solve for x
    x = 160,991,129.62/13,821.15
  6. Step 6: Final answer
    x = 11,648.17

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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.