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Finding the Fourth Proportional to 23,036, 31,789.68 and 13,100

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Solution

The fourth proportional to 23,036, 31,789.68 and 13,100 is: 18,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036 : 31,789.68 = 13,100 : x
  2. Step 2: Convert to fraction form
    23,036/31,789.68 = 13,100/x
  3. Step 3: Cross multiply
    23,036x = 31,789.68 × 13,100
  4. Step 4: Simplify right side
    23,036x = 416,444,808
  5. Step 5: Solve for x
    x = 416,444,808/23,036
  6. Step 6: Final answer
    x = 18,078

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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.