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Finding the Fourth Proportional to 18,675.75, 25,774.16 and 10,293.87

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Solution

The fourth proportional to 18,675.75, 25,774.16 and 10,293.87 is: 14,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675.75 : 25,774.16 = 10,293.87 : x
  2. Step 2: Convert to fraction form
    18,675.75/25,774.16 = 10,293.87/x
  3. Step 3: Cross multiply
    18,675.75x = 25,774.16 × 10,293.87
  4. Step 4: Simplify right side
    18,675.75x = 265,315,800.93
  5. Step 5: Solve for x
    x = 265,315,800.93/18,675.75
  6. Step 6: Final answer
    x = 14,206.43

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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.