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Finding the Fourth Proportional to 16,874.43, 25,308.10 and 7,746.60

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Solution

The fourth proportional to 16,874.43, 25,308.10 and 7,746.60 is: 11,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.43 : 25,308.10 = 7,746.60 : x
  2. Step 2: Convert to fraction form
    16,874.43/25,308.10 = 7,746.60/x
  3. Step 3: Cross multiply
    16,874.43x = 25,308.10 × 7,746.60
  4. Step 4: Simplify right side
    16,874.43x = 196,051,832.05
  5. Step 5: Solve for x
    x = 196,051,832.05/16,874.43
  6. Step 6: Final answer
    x = 11,618.28

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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.