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Finding the Fourth Proportional to 23,164.32, 31,969.68 and 13,093.20

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Solution

The fourth proportional to 23,164.32, 31,969.68 and 13,093.20 is: 18,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.32 : 31,969.68 = 13,093.20 : x
  2. Step 2: Convert to fraction form
    23,164.32/31,969.68 = 13,093.20/x
  3. Step 3: Cross multiply
    23,164.32x = 31,969.68 × 13,093.20
  4. Step 4: Simplify right side
    23,164.32x = 418,585,414.18
  5. Step 5: Solve for x
    x = 418,585,414.18/23,164.32
  6. Step 6: Final answer
    x = 18,070.27

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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.