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Finding the Fourth Proportional to 25,213.74, 34,794.50 and 13,882.99

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Solution

The fourth proportional to 25,213.74, 34,794.50 and 13,882.99 is: 19,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.74 : 34,794.50 = 13,882.99 : x
  2. Step 2: Convert to fraction form
    25,213.74/34,794.50 = 13,882.99/x
  3. Step 3: Cross multiply
    25,213.74x = 34,794.50 × 13,882.99
  4. Step 4: Simplify right side
    25,213.74x = 483,051,539.15
  5. Step 5: Solve for x
    x = 483,051,539.15/25,213.74
  6. Step 6: Final answer
    x = 19,158.27

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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.