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Finding the Fourth Proportional to 17,070.97, 25,588.86 and 6,538.12

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Solution

The fourth proportional to 17,070.97, 25,588.86 and 6,538.12 is: 9,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.97 : 25,588.86 = 6,538.12 : x
  2. Step 2: Convert to fraction form
    17,070.97/25,588.86 = 6,538.12/x
  3. Step 3: Cross multiply
    17,070.97x = 25,588.86 × 6,538.12
  4. Step 4: Simplify right side
    17,070.97x = 167,303,037.34
  5. Step 5: Solve for x
    x = 167,303,037.34/17,070.97
  6. Step 6: Final answer
    x = 9,800.44

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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.