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Finding the Fourth Proportional to 12,704.64, 19,062.40 and 6,552.96

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Solution

The fourth proportional to 12,704.64, 19,062.40 and 6,552.96 is: 9,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.64 : 19,062.40 = 6,552.96 : x
  2. Step 2: Convert to fraction form
    12,704.64/19,062.40 = 6,552.96/x
  3. Step 3: Cross multiply
    12,704.64x = 19,062.40 × 6,552.96
  4. Step 4: Simplify right side
    12,704.64x = 124,915,144.70
  5. Step 5: Solve for x
    x = 124,915,144.70/12,704.64
  6. Step 6: Final answer
    x = 9,832.25

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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.