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Finding the Fourth Proportional to 27,314.64, 37,694.16 and 15,377.40

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Solution

The fourth proportional to 27,314.64, 37,694.16 and 15,377.40 is: 21,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.64 : 37,694.16 = 15,377.40 : x
  2. Step 2: Convert to fraction form
    27,314.64/37,694.16 = 15,377.40/x
  3. Step 3: Cross multiply
    27,314.64x = 37,694.16 × 15,377.40
  4. Step 4: Simplify right side
    27,314.64x = 579,638,175.98
  5. Step 5: Solve for x
    x = 579,638,175.98/27,314.64
  6. Step 6: Final answer
    x = 21,220.79

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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.