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Finding the Fourth Proportional to 17,834.80, 26,768.64 and 9,076

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Solution

The fourth proportional to 17,834.80, 26,768.64 and 9,076 is: 13,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.80 : 26,768.64 = 9,076 : x
  2. Step 2: Convert to fraction form
    17,834.80/26,768.64 = 9,076/x
  3. Step 3: Cross multiply
    17,834.80x = 26,768.64 × 9,076
  4. Step 4: Simplify right side
    17,834.80x = 242,952,176.64
  5. Step 5: Solve for x
    x = 242,952,176.64/17,834.80
  6. Step 6: Final answer
    x = 13,622.37

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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.