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Finding the Fourth Proportional to 25,960.24, 38,945.24 and 12,109.24

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Solution

The fourth proportional to 25,960.24, 38,945.24 and 12,109.24 is: 18,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.24 : 38,945.24 = 12,109.24 : x
  2. Step 2: Convert to fraction form
    25,960.24/38,945.24 = 12,109.24/x
  3. Step 3: Cross multiply
    25,960.24x = 38,945.24 × 12,109.24
  4. Step 4: Simplify right side
    25,960.24x = 471,597,258.02
  5. Step 5: Solve for x
    x = 471,597,258.02/25,960.24
  6. Step 6: Final answer
    x = 18,166.14

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1.5x scale

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.