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Finding the Fourth Proportional to 22,581.32, 33,855.23 and 13,698.68

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Solution

The fourth proportional to 22,581.32, 33,855.23 and 13,698.68 is: 20,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.32 : 33,855.23 = 13,698.68 : x
  2. Step 2: Convert to fraction form
    22,581.32/33,855.23 = 13,698.68/x
  3. Step 3: Cross multiply
    22,581.32x = 33,855.23 × 13,698.68
  4. Step 4: Simplify right side
    22,581.32x = 463,771,827.07
  5. Step 5: Solve for x
    x = 463,771,827.07/22,581.32
  6. Step 6: Final answer
    x = 20,537.86

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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.