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Finding the Fourth Proportional to 26,185.40, 39,264.10 and 13,675.16

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Solution

The fourth proportional to 26,185.40, 39,264.10 and 13,675.16 is: 20,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185.40 : 39,264.10 = 13,675.16 : x
  2. Step 2: Convert to fraction form
    26,185.40/39,264.10 = 13,675.16/x
  3. Step 3: Cross multiply
    26,185.40x = 39,264.10 × 13,675.16
  4. Step 4: Simplify right side
    26,185.40x = 536,942,849.76
  5. Step 5: Solve for x
    x = 536,942,849.76/26,185.40
  6. Step 6: Final answer
    x = 20,505.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.