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Finding the Fourth Proportional to 17,116.88, 25,670.16 and 7,256

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Solution

The fourth proportional to 17,116.88, 25,670.16 and 7,256 is: 10,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.88 : 25,670.16 = 7,256 : x
  2. Step 2: Convert to fraction form
    17,116.88/25,670.16 = 7,256/x
  3. Step 3: Cross multiply
    17,116.88x = 25,670.16 × 7,256
  4. Step 4: Simplify right side
    17,116.88x = 186,262,680.96
  5. Step 5: Solve for x
    x = 186,262,680.96/17,116.88
  6. Step 6: Final answer
    x = 10,881.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.