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Finding the Fourth Proportional to 18,784.26, 25,916.40 and 10,825.40

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Solution

The fourth proportional to 18,784.26, 25,916.40 and 10,825.40 is: 14,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784.26 : 25,916.40 = 10,825.40 : x
  2. Step 2: Convert to fraction form
    18,784.26/25,916.40 = 10,825.40/x
  3. Step 3: Cross multiply
    18,784.26x = 25,916.40 × 10,825.40
  4. Step 4: Simplify right side
    18,784.26x = 280,555,266.98
  5. Step 5: Solve for x
    x = 280,555,266.98/18,784.26
  6. Step 6: Final answer
    x = 14,935.66

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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.