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Finding the Fourth Proportional to 26,698, 36,843.24 and 14,922

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Solution

The fourth proportional to 26,698, 36,843.24 and 14,922 is: 20,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698 : 36,843.24 = 14,922 : x
  2. Step 2: Convert to fraction form
    26,698/36,843.24 = 14,922/x
  3. Step 3: Cross multiply
    26,698x = 36,843.24 × 14,922
  4. Step 4: Simplify right side
    26,698x = 549,774,827.28
  5. Step 5: Solve for x
    x = 549,774,827.28/26,698
  6. Step 6: Final answer
    x = 20,592.36

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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.