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Finding the Fourth Proportional to 23,065.94, 31,830.25 and 12,993.78

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Solution

The fourth proportional to 23,065.94, 31,830.25 and 12,993.78 is: 17,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.94 : 31,830.25 = 12,993.78 : x
  2. Step 2: Convert to fraction form
    23,065.94/31,830.25 = 12,993.78/x
  3. Step 3: Cross multiply
    23,065.94x = 31,830.25 × 12,993.78
  4. Step 4: Simplify right side
    23,065.94x = 413,595,162.72
  5. Step 5: Solve for x
    x = 413,595,162.72/23,065.94
  6. Step 6: Final answer
    x = 17,930.99

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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.