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Finding the Fourth Proportional to 17,830.80, 26,794.67 and 9,516.69

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Solution

The fourth proportional to 17,830.80, 26,794.67 and 9,516.69 is: 14,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.80 : 26,794.67 = 9,516.69 : x
  2. Step 2: Convert to fraction form
    17,830.80/26,794.67 = 9,516.69/x
  3. Step 3: Cross multiply
    17,830.80x = 26,794.67 × 9,516.69
  4. Step 4: Simplify right side
    17,830.80x = 254,996,568.04
  5. Step 5: Solve for x
    x = 254,996,568.04/17,830.80
  6. Step 6: Final answer
    x = 14,300.90

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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.