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Finding the Fourth Proportional to 16,261.95, 24,401.91 and 7,942.02

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Solution

The fourth proportional to 16,261.95, 24,401.91 and 7,942.02 is: 11,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.95 : 24,401.91 = 7,942.02 : x
  2. Step 2: Convert to fraction form
    16,261.95/24,401.91 = 7,942.02/x
  3. Step 3: Cross multiply
    16,261.95x = 24,401.91 × 7,942.02
  4. Step 4: Simplify right side
    16,261.95x = 193,800,457.26
  5. Step 5: Solve for x
    x = 193,800,457.26/16,261.95
  6. Step 6: Final answer
    x = 11,917.42

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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.