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Finding the Fourth Proportional to 27,433.38, 37,858.07 and 14,858.13

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Solution

The fourth proportional to 27,433.38, 37,858.07 and 14,858.13 is: 20,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433.38 : 37,858.07 = 14,858.13 : x
  2. Step 2: Convert to fraction form
    27,433.38/37,858.07 = 14,858.13/x
  3. Step 3: Cross multiply
    27,433.38x = 37,858.07 × 14,858.13
  4. Step 4: Simplify right side
    27,433.38x = 562,500,125.61
  5. Step 5: Solve for x
    x = 562,500,125.61/27,433.38
  6. Step 6: Final answer
    x = 20,504.22

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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.