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Finding the Fourth Proportional to 12,823.77, 17,682.85 and 8,339.20

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Solution

The fourth proportional to 12,823.77, 17,682.85 and 8,339.20 is: 11,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.77 : 17,682.85 = 8,339.20 : x
  2. Step 2: Convert to fraction form
    12,823.77/17,682.85 = 8,339.20/x
  3. Step 3: Cross multiply
    12,823.77x = 17,682.85 × 8,339.20
  4. Step 4: Simplify right side
    12,823.77x = 147,460,801.87
  5. Step 5: Solve for x
    x = 147,460,801.87/12,823.77
  6. Step 6: Final answer
    x = 11,499.03

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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.