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Finding the Fourth Proportional to 27,407.81, 37,822 and 15,472.26

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Solution

The fourth proportional to 27,407.81, 37,822 and 15,472.26 is: 21,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.81 : 37,822 = 15,472.26 : x
  2. Step 2: Convert to fraction form
    27,407.81/37,822 = 15,472.26/x
  3. Step 3: Cross multiply
    27,407.81x = 37,822 × 15,472.26
  4. Step 4: Simplify right side
    27,407.81x = 585,191,817.72
  5. Step 5: Solve for x
    x = 585,191,817.72/27,407.81
  6. Step 6: Final answer
    x = 21,351.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.