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Finding the Fourth Proportional to 25,191, 34,763.58 and 14,013

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Solution

The fourth proportional to 25,191, 34,763.58 and 14,013 is: 19,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191 : 34,763.58 = 14,013 : x
  2. Step 2: Convert to fraction form
    25,191/34,763.58 = 14,013/x
  3. Step 3: Cross multiply
    25,191x = 34,763.58 × 14,013
  4. Step 4: Simplify right side
    25,191x = 487,142,046.54
  5. Step 5: Solve for x
    x = 487,142,046.54/25,191
  6. Step 6: Final answer
    x = 19,337.94

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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.