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Finding the Fourth Proportional to 23,097.81, 31,873.16 and 13,023.03

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Solution

The fourth proportional to 23,097.81, 31,873.16 and 13,023.03 is: 17,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.81 : 31,873.16 = 13,023.03 : x
  2. Step 2: Convert to fraction form
    23,097.81/31,873.16 = 13,023.03/x
  3. Step 3: Cross multiply
    23,097.81x = 31,873.16 × 13,023.03
  4. Step 4: Simplify right side
    23,097.81x = 415,085,118.87
  5. Step 5: Solve for x
    x = 415,085,118.87/23,097.81
  6. Step 6: Final answer
    x = 17,970.76

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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.