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Finding the Fourth Proportional to 25,179, 34,747.14 and 14,001

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Solution

The fourth proportional to 25,179, 34,747.14 and 14,001 is: 19,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,179 : 34,747.14 = 14,001 : x
  2. Step 2: Convert to fraction form
    25,179/34,747.14 = 14,001/x
  3. Step 3: Cross multiply
    25,179x = 34,747.14 × 14,001
  4. Step 4: Simplify right side
    25,179x = 486,494,707.14
  5. Step 5: Solve for x
    x = 486,494,707.14/25,179
  6. Step 6: Final answer
    x = 19,321.45

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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.