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Finding the Fourth Proportional to 25,674.72, 35,431.92 and 14,497.44

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Solution

The fourth proportional to 25,674.72, 35,431.92 and 14,497.44 is: 20,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.72 : 35,431.92 = 14,497.44 : x
  2. Step 2: Convert to fraction form
    25,674.72/35,431.92 = 14,497.44/x
  3. Step 3: Cross multiply
    25,674.72x = 35,431.92 × 14,497.44
  4. Step 4: Simplify right side
    25,674.72x = 513,672,134.28
  5. Step 5: Solve for x
    x = 513,672,134.28/25,674.72
  6. Step 6: Final answer
    x = 20,006.92

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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.