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Finding the Fourth Proportional to 13,557.84, 20,337.49 and 4,204.32

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Solution

The fourth proportional to 13,557.84, 20,337.49 and 4,204.32 is: 6,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.84 : 20,337.49 = 4,204.32 : x
  2. Step 2: Convert to fraction form
    13,557.84/20,337.49 = 4,204.32/x
  3. Step 3: Cross multiply
    13,557.84x = 20,337.49 × 4,204.32
  4. Step 4: Simplify right side
    13,557.84x = 85,505,315.96
  5. Step 5: Solve for x
    x = 85,505,315.96/13,557.84
  6. Step 6: Final answer
    x = 6,306.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.