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Finding the Fourth Proportional to 20,510.38, 30,765.57 and 14,678.38

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Solution

The fourth proportional to 20,510.38, 30,765.57 and 14,678.38 is: 22,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.38 : 30,765.57 = 14,678.38 : x
  2. Step 2: Convert to fraction form
    20,510.38/30,765.57 = 14,678.38/x
  3. Step 3: Cross multiply
    20,510.38x = 30,765.57 × 14,678.38
  4. Step 4: Simplify right side
    20,510.38x = 451,588,727.38
  5. Step 5: Solve for x
    x = 451,588,727.38/20,510.38
  6. Step 6: Final answer
    x = 22,017.57

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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.