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Finding the Fourth Proportional to 14,704.28, 20,302.50 and 9,046.64

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Solution

The fourth proportional to 14,704.28, 20,302.50 and 9,046.64 is: 12,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.28 : 20,302.50 = 9,046.64 : x
  2. Step 2: Convert to fraction form
    14,704.28/20,302.50 = 9,046.64/x
  3. Step 3: Cross multiply
    14,704.28x = 20,302.50 × 9,046.64
  4. Step 4: Simplify right side
    14,704.28x = 183,669,408.60
  5. Step 5: Solve for x
    x = 183,669,408.60/14,704.28
  6. Step 6: Final answer
    x = 12,490.88

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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.