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Finding the Fourth Proportional to 25,841.75, 35,642.97 and 23,724

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Solution

The fourth proportional to 25,841.75, 35,642.97 and 23,724 is: 32,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.75 : 35,642.97 = 23,724 : x
  2. Step 2: Convert to fraction form
    25,841.75/35,642.97 = 23,724/x
  3. Step 3: Cross multiply
    25,841.75x = 35,642.97 × 23,724
  4. Step 4: Simplify right side
    25,841.75x = 845,593,820.28
  5. Step 5: Solve for x
    x = 845,593,820.28/25,841.75
  6. Step 6: Final answer
    x = 32,722.01

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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.