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Finding the Fourth Proportional to 20,430, 28,174.68 and 13,252.44

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Solution

The fourth proportional to 20,430, 28,174.68 and 13,252.44 is: 18,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430 : 28,174.68 = 13,252.44 : x
  2. Step 2: Convert to fraction form
    20,430/28,174.68 = 13,252.44/x
  3. Step 3: Cross multiply
    20,430x = 28,174.68 × 13,252.44
  4. Step 4: Simplify right side
    20,430x = 373,383,256.22
  5. Step 5: Solve for x
    x = 373,383,256.22/20,430
  6. Step 6: Final answer
    x = 18,276.22

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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.