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Finding the Fourth Proportional to 12,128.80, 16,736.55 and 6,823.50

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Solution

The fourth proportional to 12,128.80, 16,736.55 and 6,823.50 is: 9,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.80 : 16,736.55 = 6,823.50 : x
  2. Step 2: Convert to fraction form
    12,128.80/16,736.55 = 6,823.50/x
  3. Step 3: Cross multiply
    12,128.80x = 16,736.55 × 6,823.50
  4. Step 4: Simplify right side
    12,128.80x = 114,201,907.83
  5. Step 5: Solve for x
    x = 114,201,907.83/12,128.80
  6. Step 6: Final answer
    x = 9,415.76

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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.