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Finding the Fourth Proportional to 13,832.84, 20,823.08 and 12,404

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Solution

The fourth proportional to 13,832.84, 20,823.08 and 12,404 is: 18,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.84 : 20,823.08 = 12,404 : x
  2. Step 2: Convert to fraction form
    13,832.84/20,823.08 = 12,404/x
  3. Step 3: Cross multiply
    13,832.84x = 20,823.08 × 12,404
  4. Step 4: Simplify right side
    13,832.84x = 258,289,484.32
  5. Step 5: Solve for x
    x = 258,289,484.32/13,832.84
  6. Step 6: Final answer
    x = 18,672.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.