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Finding the Fourth Proportional to 12,825.63, 19,245.09 and 9,704.70

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Solution

The fourth proportional to 12,825.63, 19,245.09 and 9,704.70 is: 14,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.63 : 19,245.09 = 9,704.70 : x
  2. Step 2: Convert to fraction form
    12,825.63/19,245.09 = 9,704.70/x
  3. Step 3: Cross multiply
    12,825.63x = 19,245.09 × 9,704.70
  4. Step 4: Simplify right side
    12,825.63x = 186,767,824.92
  5. Step 5: Solve for x
    x = 186,767,824.92/12,825.63
  6. Step 6: Final answer
    x = 14,562.08

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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.