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Finding the Fourth Proportional to 27,420.39, 37,840.30 and 14,845.14

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Solution

The fourth proportional to 27,420.39, 37,840.30 and 14,845.14 is: 20,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.39 : 37,840.30 = 14,845.14 : x
  2. Step 2: Convert to fraction form
    27,420.39/37,840.30 = 14,845.14/x
  3. Step 3: Cross multiply
    27,420.39x = 37,840.30 × 14,845.14
  4. Step 4: Simplify right side
    27,420.39x = 561,744,514.03
  5. Step 5: Solve for x
    x = 561,744,514.03/27,420.39
  6. Step 6: Final answer
    x = 20,486.38

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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.