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Finding the Fourth Proportional to 23,774.87, 32,806.67 and 13,161.84

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Solution

The fourth proportional to 23,774.87, 32,806.67 and 13,161.84 is: 18,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.87 : 32,806.67 = 13,161.84 : x
  2. Step 2: Convert to fraction form
    23,774.87/32,806.67 = 13,161.84/x
  3. Step 3: Cross multiply
    23,774.87x = 32,806.67 × 13,161.84
  4. Step 4: Simplify right side
    23,774.87x = 431,796,075.66
  5. Step 5: Solve for x
    x = 431,796,075.66/23,774.87
  6. Step 6: Final answer
    x = 18,161.87

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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.