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Finding the Fourth Proportional to 26,953.50, 40,428.86 and 10,312.25

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Solution

The fourth proportional to 26,953.50, 40,428.86 and 10,312.25 is: 15,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953.50 : 40,428.86 = 10,312.25 : x
  2. Step 2: Convert to fraction form
    26,953.50/40,428.86 = 10,312.25/x
  3. Step 3: Cross multiply
    26,953.50x = 40,428.86 × 10,312.25
  4. Step 4: Simplify right side
    26,953.50x = 416,912,511.54
  5. Step 5: Solve for x
    x = 416,912,511.54/26,953.50
  6. Step 6: Final answer
    x = 15,467.84

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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.