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Finding the Fourth Proportional to 22,519.69, 33,733.39 and 12,638.20

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Solution

The fourth proportional to 22,519.69, 33,733.39 and 12,638.20 is: 18,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.69 : 33,733.39 = 12,638.20 : x
  2. Step 2: Convert to fraction form
    22,519.69/33,733.39 = 12,638.20/x
  3. Step 3: Cross multiply
    22,519.69x = 33,733.39 × 12,638.20
  4. Step 4: Simplify right side
    22,519.69x = 426,329,329.50
  5. Step 5: Solve for x
    x = 426,329,329.50/22,519.69
  6. Step 6: Final answer
    x = 18,931.40

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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.