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Finding the Fourth Proportional to 25,674.72, 35,427.12 and 14,496.48

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Solution

The fourth proportional to 25,674.72, 35,427.12 and 14,496.48 is: 20,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.72 : 35,427.12 = 14,496.48 : x
  2. Step 2: Convert to fraction form
    25,674.72/35,427.12 = 14,496.48/x
  3. Step 3: Cross multiply
    25,674.72x = 35,427.12 × 14,496.48
  4. Step 4: Simplify right side
    25,674.72x = 513,568,536.54
  5. Step 5: Solve for x
    x = 513,568,536.54/25,674.72
  6. Step 6: Final answer
    x = 20,002.89

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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.