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Finding the Fourth Proportional to 18,646.56, 25,732.26 and 10,263

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Solution

The fourth proportional to 18,646.56, 25,732.26 and 10,263 is: 14,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.56 : 25,732.26 = 10,263 : x
  2. Step 2: Convert to fraction form
    18,646.56/25,732.26 = 10,263/x
  3. Step 3: Cross multiply
    18,646.56x = 25,732.26 × 10,263
  4. Step 4: Simplify right side
    18,646.56x = 264,090,184.38
  5. Step 5: Solve for x
    x = 264,090,184.38/18,646.56
  6. Step 6: Final answer
    x = 14,162.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.