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Finding the Fourth Proportional to 25,665.29, 35,434.77 and 22,971.84

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Solution

The fourth proportional to 25,665.29, 35,434.77 and 22,971.84 is: 31,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.29 : 35,434.77 = 22,971.84 : x
  2. Step 2: Convert to fraction form
    25,665.29/35,434.77 = 22,971.84/x
  3. Step 3: Cross multiply
    25,665.29x = 35,434.77 × 22,971.84
  4. Step 4: Simplify right side
    25,665.29x = 814,001,647.85
  5. Step 5: Solve for x
    x = 814,001,647.85/25,665.29
  6. Step 6: Final answer
    x = 31,716.05

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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.