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Finding the Fourth Proportional to 14,562.42, 21,846.72 and 8,325.42

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Solution

The fourth proportional to 14,562.42, 21,846.72 and 8,325.42 is: 12,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.42 : 21,846.72 = 8,325.42 : x
  2. Step 2: Convert to fraction form
    14,562.42/21,846.72 = 8,325.42/x
  3. Step 3: Cross multiply
    14,562.42x = 21,846.72 × 8,325.42
  4. Step 4: Simplify right side
    14,562.42x = 181,883,119.62
  5. Step 5: Solve for x
    x = 181,883,119.62/14,562.42
  6. Step 6: Final answer
    x = 12,489.90

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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.