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Finding the Fourth Proportional to 12,806.34, 17,675.04 and 10,173.84

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Solution

The fourth proportional to 12,806.34, 17,675.04 and 10,173.84 is: 14,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.34 : 17,675.04 = 10,173.84 : x
  2. Step 2: Convert to fraction form
    12,806.34/17,675.04 = 10,173.84/x
  3. Step 3: Cross multiply
    12,806.34x = 17,675.04 × 10,173.84
  4. Step 4: Simplify right side
    12,806.34x = 179,823,028.95
  5. Step 5: Solve for x
    x = 179,823,028.95/12,806.34
  6. Step 6: Final answer
    x = 14,041.72

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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.