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Finding the Fourth Proportional to 28,180.69, 42,277.51 and 9,712.69

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Solution

The fourth proportional to 28,180.69, 42,277.51 and 9,712.69 is: 14,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,180.69 : 42,277.51 = 9,712.69 : x
  2. Step 2: Convert to fraction form
    28,180.69/42,277.51 = 9,712.69/x
  3. Step 3: Cross multiply
    28,180.69x = 42,277.51 × 9,712.69
  4. Step 4: Simplify right side
    28,180.69x = 410,628,255.05
  5. Step 5: Solve for x
    x = 410,628,255.05/28,180.69
  6. Step 6: Final answer
    x = 14,571.26

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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.