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Finding the Fourth Proportional to 13,722.56, 20,592.24 and 5,931.20

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Solution

The fourth proportional to 13,722.56, 20,592.24 and 5,931.20 is: 8,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.56 : 20,592.24 = 5,931.20 : x
  2. Step 2: Convert to fraction form
    13,722.56/20,592.24 = 5,931.20/x
  3. Step 3: Cross multiply
    13,722.56x = 20,592.24 × 5,931.20
  4. Step 4: Simplify right side
    13,722.56x = 122,136,693.89
  5. Step 5: Solve for x
    x = 122,136,693.89/13,722.56
  6. Step 6: Final answer
    x = 8,900.43

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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.