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Finding the Fourth Proportional to 16,867.50, 25,283.97 and 7,012.50

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Solution

The fourth proportional to 16,867.50, 25,283.97 and 7,012.50 is: 10,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,867.50 : 25,283.97 = 7,012.50 : x
  2. Step 2: Convert to fraction form
    16,867.50/25,283.97 = 7,012.50/x
  3. Step 3: Cross multiply
    16,867.50x = 25,283.97 × 7,012.50
  4. Step 4: Simplify right side
    16,867.50x = 177,303,839.63
  5. Step 5: Solve for x
    x = 177,303,839.63/16,867.50
  6. Step 6: Final answer
    x = 10,511.57

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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.