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Finding the Fourth Proportional to 16,678.42, 25,017.68 and 6,817.70

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Solution

The fourth proportional to 16,678.42, 25,017.68 and 6,817.70 is: 10,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.42 : 25,017.68 = 6,817.70 : x
  2. Step 2: Convert to fraction form
    16,678.42/25,017.68 = 6,817.70/x
  3. Step 3: Cross multiply
    16,678.42x = 25,017.68 × 6,817.70
  4. Step 4: Simplify right side
    16,678.42x = 170,563,036.94
  5. Step 5: Solve for x
    x = 170,563,036.94/16,678.42
  6. Step 6: Final answer
    x = 10,226.57

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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.