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Finding the Fourth Proportional to 23,873.16, 32,942.68 and 13,262.16

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Solution

The fourth proportional to 23,873.16, 32,942.68 and 13,262.16 is: 18,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.16 : 32,942.68 = 13,262.16 : x
  2. Step 2: Convert to fraction form
    23,873.16/32,942.68 = 13,262.16/x
  3. Step 3: Cross multiply
    23,873.16x = 32,942.68 × 13,262.16
  4. Step 4: Simplify right side
    23,873.16x = 436,891,092.99
  5. Step 5: Solve for x
    x = 436,891,092.99/23,873.16
  6. Step 6: Final answer
    x = 18,300.51

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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.