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Finding the Fourth Proportional to 26,033.56, 39,056.10 and 12,175

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Solution

The fourth proportional to 26,033.56, 39,056.10 and 12,175 is: 18,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,033.56 : 39,056.10 = 12,175 : x
  2. Step 2: Convert to fraction form
    26,033.56/39,056.10 = 12,175/x
  3. Step 3: Cross multiply
    26,033.56x = 39,056.10 × 12,175
  4. Step 4: Simplify right side
    26,033.56x = 475,508,017.50
  5. Step 5: Solve for x
    x = 475,508,017.50/26,033.56
  6. Step 6: Final answer
    x = 18,265.19

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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.