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Finding the Fourth Proportional to 24,297, 33,532.26 and 14,224.83

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Solution

The fourth proportional to 24,297, 33,532.26 and 14,224.83 is: 19,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297 : 33,532.26 = 14,224.83 : x
  2. Step 2: Convert to fraction form
    24,297/33,532.26 = 14,224.83/x
  3. Step 3: Cross multiply
    24,297x = 33,532.26 × 14,224.83
  4. Step 4: Simplify right side
    24,297x = 476,990,698.02
  5. Step 5: Solve for x
    x = 476,990,698.02/24,297
  6. Step 6: Final answer
    x = 19,631.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.