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Finding the Fourth Proportional to 22,564.58, 33,827.73 and 12,706.67

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Solution

The fourth proportional to 22,564.58, 33,827.73 and 12,706.67 is: 19,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.58 : 33,827.73 = 12,706.67 : x
  2. Step 2: Convert to fraction form
    22,564.58/33,827.73 = 12,706.67/x
  3. Step 3: Cross multiply
    22,564.58x = 33,827.73 × 12,706.67
  4. Step 4: Simplify right side
    22,564.58x = 429,837,838.88
  5. Step 5: Solve for x
    x = 429,837,838.88/22,564.58
  6. Step 6: Final answer
    x = 19,049.23

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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.