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Finding the Fourth Proportional to 25,096.50, 34,633.17 and 13,918.50

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Solution

The fourth proportional to 25,096.50, 34,633.17 and 13,918.50 is: 19,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.50 : 34,633.17 = 13,918.50 : x
  2. Step 2: Convert to fraction form
    25,096.50/34,633.17 = 13,918.50/x
  3. Step 3: Cross multiply
    25,096.50x = 34,633.17 × 13,918.50
  4. Step 4: Simplify right side
    25,096.50x = 482,041,776.65
  5. Step 5: Solve for x
    x = 482,041,776.65/25,096.50
  6. Step 6: Final answer
    x = 19,207.53

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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.