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Finding the Fourth Proportional to 27,420.38, 37,840.13 and 14,845.13

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Solution

The fourth proportional to 27,420.38, 37,840.13 and 14,845.13 is: 20,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.38 : 37,840.13 = 14,845.13 : x
  2. Step 2: Convert to fraction form
    27,420.38/37,840.13 = 14,845.13/x
  3. Step 3: Cross multiply
    27,420.38x = 37,840.13 × 14,845.13
  4. Step 4: Simplify right side
    27,420.38x = 561,741,649.07
  5. Step 5: Solve for x
    x = 561,741,649.07/27,420.38
  6. Step 6: Final answer
    x = 20,486.28

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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.