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Finding the Fourth Proportional to 14,505.30, 20,021.85 and 9,199.80

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Solution

The fourth proportional to 14,505.30, 20,021.85 and 9,199.80 is: 12,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.30 : 20,021.85 = 9,199.80 : x
  2. Step 2: Convert to fraction form
    14,505.30/20,021.85 = 9,199.80/x
  3. Step 3: Cross multiply
    14,505.30x = 20,021.85 × 9,199.80
  4. Step 4: Simplify right side
    14,505.30x = 184,197,015.63
  5. Step 5: Solve for x
    x = 184,197,015.63/14,505.30
  6. Step 6: Final answer
    x = 12,698.60

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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.