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Finding the Fourth Proportional to 12,903.50, 19,324.07 and 7,339.98

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Solution

The fourth proportional to 12,903.50, 19,324.07 and 7,339.98 is: 10,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.50 : 19,324.07 = 7,339.98 : x
  2. Step 2: Convert to fraction form
    12,903.50/19,324.07 = 7,339.98/x
  3. Step 3: Cross multiply
    12,903.50x = 19,324.07 × 7,339.98
  4. Step 4: Simplify right side
    12,903.50x = 141,838,190.70
  5. Step 5: Solve for x
    x = 141,838,190.70/12,903.50
  6. Step 6: Final answer
    x = 10,992.23

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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.