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Finding the Fourth Proportional to 17,884.55, 26,841 and 9,457.04

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Solution

The fourth proportional to 17,884.55, 26,841 and 9,457.04 is: 14,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.55 : 26,841 = 9,457.04 : x
  2. Step 2: Convert to fraction form
    17,884.55/26,841 = 9,457.04/x
  3. Step 3: Cross multiply
    17,884.55x = 26,841 × 9,457.04
  4. Step 4: Simplify right side
    17,884.55x = 253,836,410.64
  5. Step 5: Solve for x
    x = 253,836,410.64/17,884.55
  6. Step 6: Final answer
    x = 14,193.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.