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Finding the Fourth Proportional to 25,673.51, 38,511.63 and 8,144.71

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Solution

The fourth proportional to 25,673.51, 38,511.63 and 8,144.71 is: 12,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.51 : 38,511.63 = 8,144.71 : x
  2. Step 2: Convert to fraction form
    25,673.51/38,511.63 = 8,144.71/x
  3. Step 3: Cross multiply
    25,673.51x = 38,511.63 × 8,144.71
  4. Step 4: Simplify right side
    25,673.51x = 313,666,057.98
  5. Step 5: Solve for x
    x = 313,666,057.98/25,673.51
  6. Step 6: Final answer
    x = 12,217.50

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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.