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Finding the Fourth Proportional to 23,065.69, 31,824.06 and 12,990.60

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Solution

The fourth proportional to 23,065.69, 31,824.06 and 12,990.60 is: 17,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.69 : 31,824.06 = 12,990.60 : x
  2. Step 2: Convert to fraction form
    23,065.69/31,824.06 = 12,990.60/x
  3. Step 3: Cross multiply
    23,065.69x = 31,824.06 × 12,990.60
  4. Step 4: Simplify right side
    23,065.69x = 413,413,673.62
  5. Step 5: Solve for x
    x = 413,413,673.62/23,065.69
  6. Step 6: Final answer
    x = 17,923.32

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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.