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Finding the Fourth Proportional to 16,266.20, 24,403.64 and 6,906.64

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Solution

The fourth proportional to 16,266.20, 24,403.64 and 6,906.64 is: 10,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.20 : 24,403.64 = 6,906.64 : x
  2. Step 2: Convert to fraction form
    16,266.20/24,403.64 = 6,906.64/x
  3. Step 3: Cross multiply
    16,266.20x = 24,403.64 × 6,906.64
  4. Step 4: Simplify right side
    16,266.20x = 168,547,156.17
  5. Step 5: Solve for x
    x = 168,547,156.17/16,266.20
  6. Step 6: Final answer
    x = 10,361.80

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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.