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Finding the Fourth Proportional to 27,302.56, 37,674.48 and 15,370

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Solution

The fourth proportional to 27,302.56, 37,674.48 and 15,370 is: 21,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.56 : 37,674.48 = 15,370 : x
  2. Step 2: Convert to fraction form
    27,302.56/37,674.48 = 15,370/x
  3. Step 3: Cross multiply
    27,302.56x = 37,674.48 × 15,370
  4. Step 4: Simplify right side
    27,302.56x = 579,056,757.60
  5. Step 5: Solve for x
    x = 579,056,757.60/27,302.56
  6. Step 6: Final answer
    x = 21,208.88

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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.