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Finding the Fourth Proportional to 13,836.84, 20,829.12 and 12,408

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Solution

The fourth proportional to 13,836.84, 20,829.12 and 12,408 is: 18,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.84 : 20,829.12 = 12,408 : x
  2. Step 2: Convert to fraction form
    13,836.84/20,829.12 = 12,408/x
  3. Step 3: Cross multiply
    13,836.84x = 20,829.12 × 12,408
  4. Step 4: Simplify right side
    13,836.84x = 258,447,720.96
  5. Step 5: Solve for x
    x = 258,447,720.96/13,836.84
  6. Step 6: Final answer
    x = 18,678.23

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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.