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Finding the Fourth Proportional to 25,916, 35,770.56 and 14,744.48

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Solution

The fourth proportional to 25,916, 35,770.56 and 14,744.48 is: 20,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916 : 35,770.56 = 14,744.48 : x
  2. Step 2: Convert to fraction form
    25,916/35,770.56 = 14,744.48/x
  3. Step 3: Cross multiply
    25,916x = 35,770.56 × 14,744.48
  4. Step 4: Simplify right side
    25,916x = 527,418,306.51
  5. Step 5: Solve for x
    x = 527,418,306.51/25,916
  6. Step 6: Final answer
    x = 20,351.07

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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.