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Finding the Fourth Proportional to 25,857.34, 35,683.10 and 14,679.34

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Solution

The fourth proportional to 25,857.34, 35,683.10 and 14,679.34 is: 20,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.34 : 35,683.10 = 14,679.34 : x
  2. Step 2: Convert to fraction form
    25,857.34/35,683.10 = 14,679.34/x
  3. Step 3: Cross multiply
    25,857.34x = 35,683.10 × 14,679.34
  4. Step 4: Simplify right side
    25,857.34x = 523,804,357.15
  5. Step 5: Solve for x
    x = 523,804,357.15/25,857.34
  6. Step 6: Final answer
    x = 20,257.47

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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.