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Finding the Fourth Proportional to 12,026.40, 16,585.69 and 7,550.57

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Solution

The fourth proportional to 12,026.40, 16,585.69 and 7,550.57 is: 10,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.40 : 16,585.69 = 7,550.57 : x
  2. Step 2: Convert to fraction form
    12,026.40/16,585.69 = 7,550.57/x
  3. Step 3: Cross multiply
    12,026.40x = 16,585.69 × 7,550.57
  4. Step 4: Simplify right side
    12,026.40x = 125,231,375.59
  5. Step 5: Solve for x
    x = 125,231,375.59/12,026.40
  6. Step 6: Final answer
    x = 10,413.04

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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.