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Finding the Fourth Proportional to 25,960.75, 38,946 and 12,109.75

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Solution

The fourth proportional to 25,960.75, 38,946 and 12,109.75 is: 18,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.75 : 38,946 = 12,109.75 : x
  2. Step 2: Convert to fraction form
    25,960.75/38,946 = 12,109.75/x
  3. Step 3: Cross multiply
    25,960.75x = 38,946 × 12,109.75
  4. Step 4: Simplify right side
    25,960.75x = 471,626,323.50
  5. Step 5: Solve for x
    x = 471,626,323.50/25,960.75
  6. Step 6: Final answer
    x = 18,166.90

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Why These Related Problems?

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