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Finding the Fourth Proportional to 13,881.67, 20,824.24 and 4,522.64

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Solution

The fourth proportional to 13,881.67, 20,824.24 and 4,522.64 is: 6,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.67 : 20,824.24 = 4,522.64 : x
  2. Step 2: Convert to fraction form
    13,881.67/20,824.24 = 4,522.64/x
  3. Step 3: Cross multiply
    13,881.67x = 20,824.24 × 4,522.64
  4. Step 4: Simplify right side
    13,881.67x = 94,180,472.89
  5. Step 5: Solve for x
    x = 94,180,472.89/13,881.67
  6. Step 6: Final answer
    x = 6,784.52

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Why These Related Problems?

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