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Finding the Fourth Proportional to 18,646.50, 25,732.58 and 10,263

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Solution

The fourth proportional to 18,646.50, 25,732.58 and 10,263 is: 14,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.50 : 25,732.58 = 10,263 : x
  2. Step 2: Convert to fraction form
    18,646.50/25,732.58 = 10,263/x
  3. Step 3: Cross multiply
    18,646.50x = 25,732.58 × 10,263
  4. Step 4: Simplify right side
    18,646.50x = 264,093,417.23
  5. Step 5: Solve for x
    x = 264,093,417.23/18,646.50
  6. Step 6: Final answer
    x = 14,163.16

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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.