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Finding the Fourth Proportional to 25,832, 35,643.68 and 15,220.80

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Solution

The fourth proportional to 25,832, 35,643.68 and 15,220.80 is: 21,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832 : 35,643.68 = 15,220.80 : x
  2. Step 2: Convert to fraction form
    25,832/35,643.68 = 15,220.80/x
  3. Step 3: Cross multiply
    25,832x = 35,643.68 × 15,220.80
  4. Step 4: Simplify right side
    25,832x = 542,525,324.54
  5. Step 5: Solve for x
    x = 542,525,324.54/25,832
  6. Step 6: Final answer
    x = 21,002.06

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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.