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Finding the Fourth Proportional to 14,183.88, 19,573.57 and 7,810.33

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Solution

The fourth proportional to 14,183.88, 19,573.57 and 7,810.33 is: 10,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.88 : 19,573.57 = 7,810.33 : x
  2. Step 2: Convert to fraction form
    14,183.88/19,573.57 = 7,810.33/x
  3. Step 3: Cross multiply
    14,183.88x = 19,573.57 × 7,810.33
  4. Step 4: Simplify right side
    14,183.88x = 152,876,115.52
  5. Step 5: Solve for x
    x = 152,876,115.52/14,183.88
  6. Step 6: Final answer
    x = 10,778.16

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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.