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Finding the Fourth Proportional to 13,821.82, 19,073.82 and 8,442.41

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Solution

The fourth proportional to 13,821.82, 19,073.82 and 8,442.41 is: 11,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.82 : 19,073.82 = 8,442.41 : x
  2. Step 2: Convert to fraction form
    13,821.82/19,073.82 = 8,442.41/x
  3. Step 3: Cross multiply
    13,821.82x = 19,073.82 × 8,442.41
  4. Step 4: Simplify right side
    13,821.82x = 161,029,008.71
  5. Step 5: Solve for x
    x = 161,029,008.71/13,821.82
  6. Step 6: Final answer
    x = 11,650.35

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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.