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Finding the Fourth Proportional to 12,782.08, 17,647.36 and 8,801.92

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Solution

The fourth proportional to 12,782.08, 17,647.36 and 8,801.92 is: 12,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.08 : 17,647.36 = 8,801.92 : x
  2. Step 2: Convert to fraction form
    12,782.08/17,647.36 = 8,801.92/x
  3. Step 3: Cross multiply
    12,782.08x = 17,647.36 × 8,801.92
  4. Step 4: Simplify right side
    12,782.08x = 155,330,650.93
  5. Step 5: Solve for x
    x = 155,330,650.93/12,782.08
  6. Step 6: Final answer
    x = 12,152.22

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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.