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Finding the Fourth Proportional to 25,120, 34,665.60 and 13,942.08

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Solution

The fourth proportional to 25,120, 34,665.60 and 13,942.08 is: 19,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,120 : 34,665.60 = 13,942.08 : x
  2. Step 2: Convert to fraction form
    25,120/34,665.60 = 13,942.08/x
  3. Step 3: Cross multiply
    25,120x = 34,665.60 × 13,942.08
  4. Step 4: Simplify right side
    25,120x = 483,310,568.45
  5. Step 5: Solve for x
    x = 483,310,568.45/25,120
  6. Step 6: Final answer
    x = 19,240.07

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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.