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Finding the Fourth Proportional to 15,821.22, 23,728.32 and 7,050.54

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Solution

The fourth proportional to 15,821.22, 23,728.32 and 7,050.54 is: 10,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.22 : 23,728.32 = 7,050.54 : x
  2. Step 2: Convert to fraction form
    15,821.22/23,728.32 = 7,050.54/x
  3. Step 3: Cross multiply
    15,821.22x = 23,728.32 × 7,050.54
  4. Step 4: Simplify right side
    15,821.22x = 167,297,469.29
  5. Step 5: Solve for x
    x = 167,297,469.29/15,821.22
  6. Step 6: Final answer
    x = 10,574.25

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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.