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Finding the Fourth Proportional to 23,997.42, 36,007.74 and 9,968.22

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Solution

The fourth proportional to 23,997.42, 36,007.74 and 9,968.22 is: 14,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,997.42 : 36,007.74 = 9,968.22 : x
  2. Step 2: Convert to fraction form
    23,997.42/36,007.74 = 9,968.22/x
  3. Step 3: Cross multiply
    23,997.42x = 36,007.74 × 9,968.22
  4. Step 4: Simplify right side
    23,997.42x = 358,933,074.02
  5. Step 5: Solve for x
    x = 358,933,074.02/23,997.42
  6. Step 6: Final answer
    x = 14,957.15

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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.