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Finding the Fourth Proportional to 25,707.78, 35,403.16 and 24,105.84

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Solution

The fourth proportional to 25,707.78, 35,403.16 and 24,105.84 is: 33,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.78 : 35,403.16 = 24,105.84 : x
  2. Step 2: Convert to fraction form
    25,707.78/35,403.16 = 24,105.84/x
  3. Step 3: Cross multiply
    25,707.78x = 35,403.16 × 24,105.84
  4. Step 4: Simplify right side
    25,707.78x = 853,422,850.19
  5. Step 5: Solve for x
    x = 853,422,850.19/25,707.78
  6. Step 6: Final answer
    x = 33,197.07

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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.