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Finding the Fourth Proportional to 25,760.48, 35,548.98 and 14,429.84

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Solution

The fourth proportional to 25,760.48, 35,548.98 and 14,429.84 is: 19,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.48 : 35,548.98 = 14,429.84 : x
  2. Step 2: Convert to fraction form
    25,760.48/35,548.98 = 14,429.84/x
  3. Step 3: Cross multiply
    25,760.48x = 35,548.98 × 14,429.84
  4. Step 4: Simplify right side
    25,760.48x = 512,966,093.56
  5. Step 5: Solve for x
    x = 512,966,093.56/25,760.48
  6. Step 6: Final answer
    x = 19,912.91

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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.