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Finding the Fourth Proportional to 25,142.34, 34,696.54 and 13,964.34

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Solution

The fourth proportional to 25,142.34, 34,696.54 and 13,964.34 is: 19,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.34 : 34,696.54 = 13,964.34 : x
  2. Step 2: Convert to fraction form
    25,142.34/34,696.54 = 13,964.34/x
  3. Step 3: Cross multiply
    25,142.34x = 34,696.54 × 13,964.34
  4. Step 4: Simplify right side
    25,142.34x = 484,514,281.38
  5. Step 5: Solve for x
    x = 484,514,281.38/25,142.34
  6. Step 6: Final answer
    x = 19,270.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.