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Finding the Fourth Proportional to 26,416, 36,455.72 and 15,238

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Solution

The fourth proportional to 26,416, 36,455.72 and 15,238 is: 21,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416 : 36,455.72 = 15,238 : x
  2. Step 2: Convert to fraction form
    26,416/36,455.72 = 15,238/x
  3. Step 3: Cross multiply
    26,416x = 36,455.72 × 15,238
  4. Step 4: Simplify right side
    26,416x = 555,512,261.36
  5. Step 5: Solve for x
    x = 555,512,261.36/26,416
  6. Step 6: Final answer
    x = 21,029.39

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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.