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Finding the Fourth Proportional to 21,408.75, 32,126.10 and 9,096.75

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Solution

The fourth proportional to 21,408.75, 32,126.10 and 9,096.75 is: 13,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.75 : 32,126.10 = 9,096.75 : x
  2. Step 2: Convert to fraction form
    21,408.75/32,126.10 = 9,096.75/x
  3. Step 3: Cross multiply
    21,408.75x = 32,126.10 × 9,096.75
  4. Step 4: Simplify right side
    21,408.75x = 292,243,100.18
  5. Step 5: Solve for x
    x = 292,243,100.18/21,408.75
  6. Step 6: Final answer
    x = 13,650.64

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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.