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Finding the Fourth Proportional to 23,806.94, 32,851.77 and 13,050.09

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Solution

The fourth proportional to 23,806.94, 32,851.77 and 13,050.09 is: 18,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.94 : 32,851.77 = 13,050.09 : x
  2. Step 2: Convert to fraction form
    23,806.94/32,851.77 = 13,050.09/x
  3. Step 3: Cross multiply
    23,806.94x = 32,851.77 × 13,050.09
  4. Step 4: Simplify right side
    23,806.94x = 428,718,555.16
  5. Step 5: Solve for x
    x = 428,718,555.16/23,806.94
  6. Step 6: Final answer
    x = 18,008.14

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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.