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Finding the Fourth Proportional to 13,416, 20,124 and 5,522.24

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Solution

The fourth proportional to 13,416, 20,124 and 5,522.24 is: 8,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 20,124 = 5,522.24 : x
  2. Step 2: Convert to fraction form
    13,416/20,124 = 5,522.24/x
  3. Step 3: Cross multiply
    13,416x = 20,124 × 5,522.24
  4. Step 4: Simplify right side
    13,416x = 111,129,557.76
  5. Step 5: Solve for x
    x = 111,129,557.76/13,416
  6. Step 6: Final answer
    x = 8,283.36

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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.