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Finding the Fourth Proportional to 18,142.42, 27,222 and 8,284.72

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Solution

The fourth proportional to 18,142.42, 27,222 and 8,284.72 is: 12,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.42 : 27,222 = 8,284.72 : x
  2. Step 2: Convert to fraction form
    18,142.42/27,222 = 8,284.72/x
  3. Step 3: Cross multiply
    18,142.42x = 27,222 × 8,284.72
  4. Step 4: Simplify right side
    18,142.42x = 225,526,647.84
  5. Step 5: Solve for x
    x = 225,526,647.84/18,142.42
  6. Step 6: Final answer
    x = 12,430.90

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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.