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Finding the Fourth Proportional to 17,200.86, 25,779.69 and 6,098.46

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Solution

The fourth proportional to 17,200.86, 25,779.69 and 6,098.46 is: 9,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.86 : 25,779.69 = 6,098.46 : x
  2. Step 2: Convert to fraction form
    17,200.86/25,779.69 = 6,098.46/x
  3. Step 3: Cross multiply
    17,200.86x = 25,779.69 × 6,098.46
  4. Step 4: Simplify right side
    17,200.86x = 157,216,408.28
  5. Step 5: Solve for x
    x = 157,216,408.28/17,200.86
  6. Step 6: Final answer
    x = 9,140.03

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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.