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Finding the Fourth Proportional to 15,923.60, 23,878.46 and 8,021.12

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Solution

The fourth proportional to 15,923.60, 23,878.46 and 8,021.12 is: 12,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.60 : 23,878.46 = 8,021.12 : x
  2. Step 2: Convert to fraction form
    15,923.60/23,878.46 = 8,021.12/x
  3. Step 3: Cross multiply
    15,923.60x = 23,878.46 × 8,021.12
  4. Step 4: Simplify right side
    15,923.60x = 191,531,993.08
  5. Step 5: Solve for x
    x = 191,531,993.08/15,923.60
  6. Step 6: Final answer
    x = 12,028.18

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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.