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Finding the Fourth Proportional to 17,742.84, 26,576.10 and 8,368.80

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Solution

The fourth proportional to 17,742.84, 26,576.10 and 8,368.80 is: 12,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.84 : 26,576.10 = 8,368.80 : x
  2. Step 2: Convert to fraction form
    17,742.84/26,576.10 = 8,368.80/x
  3. Step 3: Cross multiply
    17,742.84x = 26,576.10 × 8,368.80
  4. Step 4: Simplify right side
    17,742.84x = 222,410,065.68
  5. Step 5: Solve for x
    x = 222,410,065.68/17,742.84
  6. Step 6: Final answer
    x = 12,535.20

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1.5x scale

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.