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Finding the Fourth Proportional to 18,710.64, 28,065.68 and 10,825

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Solution

The fourth proportional to 18,710.64, 28,065.68 and 10,825 is: 16,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,710.64 : 28,065.68 = 10,825 : x
  2. Step 2: Convert to fraction form
    18,710.64/28,065.68 = 10,825/x
  3. Step 3: Cross multiply
    18,710.64x = 28,065.68 × 10,825
  4. Step 4: Simplify right side
    18,710.64x = 303,810,986
  5. Step 5: Solve for x
    x = 303,810,986/18,710.64
  6. Step 6: Final answer
    x = 16,237.34

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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.