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Finding the Fourth Proportional to 22,494.34, 33,746.12 and 8,454.34

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Solution

The fourth proportional to 22,494.34, 33,746.12 and 8,454.34 is: 12,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.34 : 33,746.12 = 8,454.34 : x
  2. Step 2: Convert to fraction form
    22,494.34/33,746.12 = 8,454.34/x
  3. Step 3: Cross multiply
    22,494.34x = 33,746.12 × 8,454.34
  4. Step 4: Simplify right side
    22,494.34x = 285,301,203.78
  5. Step 5: Solve for x
    x = 285,301,203.78/22,494.34
  6. Step 6: Final answer
    x = 12,683.24

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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.