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Finding the Fourth Proportional to 24,850.70, 34,295.91 and 14,242.94

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Solution

The fourth proportional to 24,850.70, 34,295.91 and 14,242.94 is: 19,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.70 : 34,295.91 = 14,242.94 : x
  2. Step 2: Convert to fraction form
    24,850.70/34,295.91 = 14,242.94/x
  3. Step 3: Cross multiply
    24,850.70x = 34,295.91 × 14,242.94
  4. Step 4: Simplify right side
    24,850.70x = 488,474,588.38
  5. Step 5: Solve for x
    x = 488,474,588.38/24,850.70
  6. Step 6: Final answer
    x = 19,656.37

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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.