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Finding the Fourth Proportional to 12,729.94, 19,085.31 and 8,348.50

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Solution

The fourth proportional to 12,729.94, 19,085.31 and 8,348.50 is: 12,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.94 : 19,085.31 = 8,348.50 : x
  2. Step 2: Convert to fraction form
    12,729.94/19,085.31 = 8,348.50/x
  3. Step 3: Cross multiply
    12,729.94x = 19,085.31 × 8,348.50
  4. Step 4: Simplify right side
    12,729.94x = 159,333,710.54
  5. Step 5: Solve for x
    x = 159,333,710.54/12,729.94
  6. Step 6: Final answer
    x = 12,516.45

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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.