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Finding the Fourth Proportional to 17,734.72, 26,602.34 and 5,256

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Solution

The fourth proportional to 17,734.72, 26,602.34 and 5,256 is: 7,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.72 : 26,602.34 = 5,256 : x
  2. Step 2: Convert to fraction form
    17,734.72/26,602.34 = 5,256/x
  3. Step 3: Cross multiply
    17,734.72x = 26,602.34 × 5,256
  4. Step 4: Simplify right side
    17,734.72x = 139,821,899.04
  5. Step 5: Solve for x
    x = 139,821,899.04/17,734.72
  6. Step 6: Final answer
    x = 7,884.08

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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.