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Finding the Fourth Proportional to 14,772.62, 20,381.65 and 9,735.05

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Solution

The fourth proportional to 14,772.62, 20,381.65 and 9,735.05 is: 13,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.62 : 20,381.65 = 9,735.05 : x
  2. Step 2: Convert to fraction form
    14,772.62/20,381.65 = 9,735.05/x
  3. Step 3: Cross multiply
    14,772.62x = 20,381.65 × 9,735.05
  4. Step 4: Simplify right side
    14,772.62x = 198,416,408.45
  5. Step 5: Solve for x
    x = 198,416,408.45/14,772.62
  6. Step 6: Final answer
    x = 13,431.36

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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.