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Finding the Fourth Proportional to 14,792.22, 20,408.31 and 9,202.86

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Solution

The fourth proportional to 14,792.22, 20,408.31 and 9,202.86 is: 12,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.22 : 20,408.31 = 9,202.86 : x
  2. Step 2: Convert to fraction form
    14,792.22/20,408.31 = 9,202.86/x
  3. Step 3: Cross multiply
    14,792.22x = 20,408.31 × 9,202.86
  4. Step 4: Simplify right side
    14,792.22x = 187,814,819.77
  5. Step 5: Solve for x
    x = 187,814,819.77/14,792.22
  6. Step 6: Final answer
    x = 12,696.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.