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Finding the Fourth Proportional to 23,842.36, 32,902.95 and 13,231.72

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Solution

The fourth proportional to 23,842.36, 32,902.95 and 13,231.72 is: 18,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.36 : 32,902.95 = 13,231.72 : x
  2. Step 2: Convert to fraction form
    23,842.36/32,902.95 = 13,231.72/x
  3. Step 3: Cross multiply
    23,842.36x = 32,902.95 × 13,231.72
  4. Step 4: Simplify right side
    23,842.36x = 435,362,621.57
  5. Step 5: Solve for x
    x = 435,362,621.57/23,842.36
  6. Step 6: Final answer
    x = 18,260.05

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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.