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Finding the Fourth Proportional to 17,537.68, 26,264.61 and 9,628.03

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Solution

The fourth proportional to 17,537.68, 26,264.61 and 9,628.03 is: 14,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.68 : 26,264.61 = 9,628.03 : x
  2. Step 2: Convert to fraction form
    17,537.68/26,264.61 = 9,628.03/x
  3. Step 3: Cross multiply
    17,537.68x = 26,264.61 × 9,628.03
  4. Step 4: Simplify right side
    17,537.68x = 252,876,453.02
  5. Step 5: Solve for x
    x = 252,876,453.02/17,537.68
  6. Step 6: Final answer
    x = 14,419.04

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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.