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Finding the Fourth Proportional to 27,880.74, 38,482.92 and 17,264.34

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Solution

The fourth proportional to 27,880.74, 38,482.92 and 17,264.34 is: 23,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880.74 : 38,482.92 = 17,264.34 : x
  2. Step 2: Convert to fraction form
    27,880.74/38,482.92 = 17,264.34/x
  3. Step 3: Cross multiply
    27,880.74x = 38,482.92 × 17,264.34
  4. Step 4: Simplify right side
    27,880.74x = 664,382,215.07
  5. Step 5: Solve for x
    x = 664,382,215.07/27,880.74
  6. Step 6: Final answer
    x = 23,829.43

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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.