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Finding the Fourth Proportional to 20,449.57, 30,674.34 and 6,598.57

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Solution

The fourth proportional to 20,449.57, 30,674.34 and 6,598.57 is: 9,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.57 : 30,674.34 = 6,598.57 : x
  2. Step 2: Convert to fraction form
    20,449.57/30,674.34 = 6,598.57/x
  3. Step 3: Cross multiply
    20,449.57x = 30,674.34 × 6,598.57
  4. Step 4: Simplify right side
    20,449.57x = 202,406,779.69
  5. Step 5: Solve for x
    x = 202,406,779.69/20,449.57
  6. Step 6: Final answer
    x = 9,897.85

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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.