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Finding the Fourth Proportional to 14,704.64, 20,284.80 and 9,105.92

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Solution

The fourth proportional to 14,704.64, 20,284.80 and 9,105.92 is: 12,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.64 : 20,284.80 = 9,105.92 : x
  2. Step 2: Convert to fraction form
    14,704.64/20,284.80 = 9,105.92/x
  3. Step 3: Cross multiply
    14,704.64x = 20,284.80 × 9,105.92
  4. Step 4: Simplify right side
    14,704.64x = 184,711,766.02
  5. Step 5: Solve for x
    x = 184,711,766.02/14,704.64
  6. Step 6: Final answer
    x = 12,561.46

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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.