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Finding the Fourth Proportional to 25,337, 34,964.54 and 14,006.97

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Solution

The fourth proportional to 25,337, 34,964.54 and 14,006.97 is: 19,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337 : 34,964.54 = 14,006.97 : x
  2. Step 2: Convert to fraction form
    25,337/34,964.54 = 14,006.97/x
  3. Step 3: Cross multiply
    25,337x = 34,964.54 × 14,006.97
  4. Step 4: Simplify right side
    25,337x = 489,747,262.84
  5. Step 5: Solve for x
    x = 489,747,262.84/25,337
  6. Step 6: Final answer
    x = 19,329.33

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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.