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Finding the Fourth Proportional to 23,151.85, 31,949.67 and 12,541.54

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Solution

The fourth proportional to 23,151.85, 31,949.67 and 12,541.54 is: 17,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151.85 : 31,949.67 = 12,541.54 : x
  2. Step 2: Convert to fraction form
    23,151.85/31,949.67 = 12,541.54/x
  3. Step 3: Cross multiply
    23,151.85x = 31,949.67 × 12,541.54
  4. Step 4: Simplify right side
    23,151.85x = 400,698,064.29
  5. Step 5: Solve for x
    x = 400,698,064.29/23,151.85
  6. Step 6: Final answer
    x = 17,307.39

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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.