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Finding the Fourth Proportional to 25,143.49, 37,680.17 and 18,896.19

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Solution

The fourth proportional to 25,143.49, 37,680.17 and 18,896.19 is: 28,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.49 : 37,680.17 = 18,896.19 : x
  2. Step 2: Convert to fraction form
    25,143.49/37,680.17 = 18,896.19/x
  3. Step 3: Cross multiply
    25,143.49x = 37,680.17 × 18,896.19
  4. Step 4: Simplify right side
    25,143.49x = 712,011,810.33
  5. Step 5: Solve for x
    x = 712,011,810.33/25,143.49
  6. Step 6: Final answer
    x = 28,317.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.