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Finding the Fourth Proportional to 26,634.56, 39,955.68 and 8,168

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Solution

The fourth proportional to 26,634.56, 39,955.68 and 8,168 is: 12,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,634.56 : 39,955.68 = 8,168 : x
  2. Step 2: Convert to fraction form
    26,634.56/39,955.68 = 8,168/x
  3. Step 3: Cross multiply
    26,634.56x = 39,955.68 × 8,168
  4. Step 4: Simplify right side
    26,634.56x = 326,357,994.24
  5. Step 5: Solve for x
    x = 326,357,994.24/26,634.56
  6. Step 6: Final answer
    x = 12,253.18

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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.