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Finding the Fourth Proportional to 22,004.76, 32,950.80 and 12,133.09

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Solution

The fourth proportional to 22,004.76, 32,950.80 and 12,133.09 is: 18,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.76 : 32,950.80 = 12,133.09 : x
  2. Step 2: Convert to fraction form
    22,004.76/32,950.80 = 12,133.09/x
  3. Step 3: Cross multiply
    22,004.76x = 32,950.80 × 12,133.09
  4. Step 4: Simplify right side
    22,004.76x = 399,795,063.16
  5. Step 5: Solve for x
    x = 399,795,063.16/22,004.76
  6. Step 6: Final answer
    x = 18,168.57

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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.