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Finding the Fourth Proportional to 25,523.51, 35,219.21 and 16,097.54

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Solution

The fourth proportional to 25,523.51, 35,219.21 and 16,097.54 is: 22,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.51 : 35,219.21 = 16,097.54 : x
  2. Step 2: Convert to fraction form
    25,523.51/35,219.21 = 16,097.54/x
  3. Step 3: Cross multiply
    25,523.51x = 35,219.21 × 16,097.54
  4. Step 4: Simplify right side
    25,523.51x = 566,942,385.16
  5. Step 5: Solve for x
    x = 566,942,385.16/25,523.51
  6. Step 6: Final answer
    x = 22,212.56

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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.