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Finding the Fourth Proportional to 26,706.25, 40,055.88 and 6,986.32

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Solution

The fourth proportional to 26,706.25, 40,055.88 and 6,986.32 is: 10,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.25 : 40,055.88 = 6,986.32 : x
  2. Step 2: Convert to fraction form
    26,706.25/40,055.88 = 6,986.32/x
  3. Step 3: Cross multiply
    26,706.25x = 40,055.88 × 6,986.32
  4. Step 4: Simplify right side
    26,706.25x = 279,842,995.28
  5. Step 5: Solve for x
    x = 279,842,995.28/26,706.25
  6. Step 6: Final answer
    x = 10,478.56

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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.