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Finding the Fourth Proportional to 12,884.64, 19,311.60 and 9,808.80

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Solution

The fourth proportional to 12,884.64, 19,311.60 and 9,808.80 is: 14,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.64 : 19,311.60 = 9,808.80 : x
  2. Step 2: Convert to fraction form
    12,884.64/19,311.60 = 9,808.80/x
  3. Step 3: Cross multiply
    12,884.64x = 19,311.60 × 9,808.80
  4. Step 4: Simplify right side
    12,884.64x = 189,423,622.08
  5. Step 5: Solve for x
    x = 189,423,622.08/12,884.64
  6. Step 6: Final answer
    x = 14,701.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.