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Finding the Fourth Proportional to 27,349.63, 37,742.51 and 14,774.38

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Solution

The fourth proportional to 27,349.63, 37,742.51 and 14,774.38 is: 20,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.63 : 37,742.51 = 14,774.38 : x
  2. Step 2: Convert to fraction form
    27,349.63/37,742.51 = 14,774.38/x
  3. Step 3: Cross multiply
    27,349.63x = 37,742.51 × 14,774.38
  4. Step 4: Simplify right side
    27,349.63x = 557,622,184.89
  5. Step 5: Solve for x
    x = 557,622,184.89/27,349.63
  6. Step 6: Final answer
    x = 20,388.66

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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.