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Finding the Fourth Proportional to 26,175, 36,120.45 and 14,238.33

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Solution

The fourth proportional to 26,175, 36,120.45 and 14,238.33 is: 19,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,175 : 36,120.45 = 14,238.33 : x
  2. Step 2: Convert to fraction form
    26,175/36,120.45 = 14,238.33/x
  3. Step 3: Cross multiply
    26,175x = 36,120.45 × 14,238.33
  4. Step 4: Simplify right side
    26,175x = 514,294,886.85
  5. Step 5: Solve for x
    x = 514,294,886.85/26,175
  6. Step 6: Final answer
    x = 19,648.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.