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Finding the Fourth Proportional to 12,827.35, 17,704.04 and 7,653.56

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Solution

The fourth proportional to 12,827.35, 17,704.04 and 7,653.56 is: 10,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.35 : 17,704.04 = 7,653.56 : x
  2. Step 2: Convert to fraction form
    12,827.35/17,704.04 = 7,653.56/x
  3. Step 3: Cross multiply
    12,827.35x = 17,704.04 × 7,653.56
  4. Step 4: Simplify right side
    12,827.35x = 135,498,870.17
  5. Step 5: Solve for x
    x = 135,498,870.17/12,827.35
  6. Step 6: Final answer
    x = 10,563.28

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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.