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Finding the Fourth Proportional to 17,070.75, 25,588.53 and 6,538.29

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Solution

The fourth proportional to 17,070.75, 25,588.53 and 6,538.29 is: 9,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.75 : 25,588.53 = 6,538.29 : x
  2. Step 2: Convert to fraction form
    17,070.75/25,588.53 = 6,538.29/x
  3. Step 3: Cross multiply
    17,070.75x = 25,588.53 × 6,538.29
  4. Step 4: Simplify right side
    17,070.75x = 167,305,229.81
  5. Step 5: Solve for x
    x = 167,305,229.81/17,070.75
  6. Step 6: Final answer
    x = 9,800.70

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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.