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Finding the Fourth Proportional to 27,410.09, 37,824.98 and 15,311.21

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Solution

The fourth proportional to 27,410.09, 37,824.98 and 15,311.21 is: 21,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.09 : 37,824.98 = 15,311.21 : x
  2. Step 2: Convert to fraction form
    27,410.09/37,824.98 = 15,311.21/x
  3. Step 3: Cross multiply
    27,410.09x = 37,824.98 × 15,311.21
  4. Step 4: Simplify right side
    27,410.09x = 579,145,946.34
  5. Step 5: Solve for x
    x = 579,145,946.34/27,410.09
  6. Step 6: Final answer
    x = 21,128.94

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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.