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Finding the Fourth Proportional to 15,803.20, 23,704.80 and 13,664.80

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Solution

The fourth proportional to 15,803.20, 23,704.80 and 13,664.80 is: 20,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.20 : 23,704.80 = 13,664.80 : x
  2. Step 2: Convert to fraction form
    15,803.20/23,704.80 = 13,664.80/x
  3. Step 3: Cross multiply
    15,803.20x = 23,704.80 × 13,664.80
  4. Step 4: Simplify right side
    15,803.20x = 323,921,351.04
  5. Step 5: Solve for x
    x = 323,921,351.04/15,803.20
  6. Step 6: Final answer
    x = 20,497.20

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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.