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Finding the Fourth Proportional to 22,182.27, 30,604.19 and 14,632.35

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Solution

The fourth proportional to 22,182.27, 30,604.19 and 14,632.35 is: 20,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.27 : 30,604.19 = 14,632.35 : x
  2. Step 2: Convert to fraction form
    22,182.27/30,604.19 = 14,632.35/x
  3. Step 3: Cross multiply
    22,182.27x = 30,604.19 × 14,632.35
  4. Step 4: Simplify right side
    22,182.27x = 447,811,146.38
  5. Step 5: Solve for x
    x = 447,811,146.38/22,182.27
  6. Step 6: Final answer
    x = 20,187.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.