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Finding the Fourth Proportional to 22,567.94, 31,144.74 and 12,496.38

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Solution

The fourth proportional to 22,567.94, 31,144.74 and 12,496.38 is: 17,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.94 : 31,144.74 = 12,496.38 : x
  2. Step 2: Convert to fraction form
    22,567.94/31,144.74 = 12,496.38/x
  3. Step 3: Cross multiply
    22,567.94x = 31,144.74 × 12,496.38
  4. Step 4: Simplify right side
    22,567.94x = 389,196,506.04
  5. Step 5: Solve for x
    x = 389,196,506.04/22,567.94
  6. Step 6: Final answer
    x = 17,245.55

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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.