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Finding the Fourth Proportional to 25,829.86, 35,646.80 and 17,201.25

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Solution

The fourth proportional to 25,829.86, 35,646.80 and 17,201.25 is: 23,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.86 : 35,646.80 = 17,201.25 : x
  2. Step 2: Convert to fraction form
    25,829.86/35,646.80 = 17,201.25/x
  3. Step 3: Cross multiply
    25,829.86x = 35,646.80 × 17,201.25
  4. Step 4: Simplify right side
    25,829.86x = 613,169,515.41
  5. Step 5: Solve for x
    x = 613,169,515.41/25,829.86
  6. Step 6: Final answer
    x = 23,738.78

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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.