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Finding the Fourth Proportional to 16,465.68, 24,697.56 and 9,847.44

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Solution

The fourth proportional to 16,465.68, 24,697.56 and 9,847.44 is: 14,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.68 : 24,697.56 = 9,847.44 : x
  2. Step 2: Convert to fraction form
    16,465.68/24,697.56 = 9,847.44/x
  3. Step 3: Cross multiply
    16,465.68x = 24,697.56 × 9,847.44
  4. Step 4: Simplify right side
    16,465.68x = 243,207,740.25
  5. Step 5: Solve for x
    x = 243,207,740.25/16,465.68
  6. Step 6: Final answer
    x = 14,770.59

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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.