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Finding the Fourth Proportional to 25,324.34, 34,947.70 and 14,146.34

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Solution

The fourth proportional to 25,324.34, 34,947.70 and 14,146.34 is: 19,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324.34 : 34,947.70 = 14,146.34 : x
  2. Step 2: Convert to fraction form
    25,324.34/34,947.70 = 14,146.34/x
  3. Step 3: Cross multiply
    25,324.34x = 34,947.70 × 14,146.34
  4. Step 4: Simplify right side
    25,324.34x = 494,382,046.42
  5. Step 5: Solve for x
    x = 494,382,046.42/25,324.34
  6. Step 6: Final answer
    x = 19,522.01

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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.