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Finding the Fourth Proportional to 27,406.81, 37,820.62 and 15,471.26

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Solution

The fourth proportional to 27,406.81, 37,820.62 and 15,471.26 is: 21,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.81 : 37,820.62 = 15,471.26 : x
  2. Step 2: Convert to fraction form
    27,406.81/37,820.62 = 15,471.26/x
  3. Step 3: Cross multiply
    27,406.81x = 37,820.62 × 15,471.26
  4. Step 4: Simplify right side
    27,406.81x = 585,132,645.38
  5. Step 5: Solve for x
    x = 585,132,645.38/27,406.81
  6. Step 6: Final answer
    x = 21,349.90

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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.