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Finding the Fourth Proportional to 20,006, 27,408.12 and 19,258.40

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Solution

The fourth proportional to 20,006, 27,408.12 and 19,258.40 is: 26,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006 : 27,408.12 = 19,258.40 : x
  2. Step 2: Convert to fraction form
    20,006/27,408.12 = 19,258.40/x
  3. Step 3: Cross multiply
    20,006x = 27,408.12 × 19,258.40
  4. Step 4: Simplify right side
    20,006x = 527,836,538.21
  5. Step 5: Solve for x
    x = 527,836,538.21/20,006
  6. Step 6: Final answer
    x = 26,383.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.