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Finding the Fourth Proportional to 27,025.96, 40,513.02 and 8,545

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Solution

The fourth proportional to 27,025.96, 40,513.02 and 8,545 is: 12,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025.96 : 40,513.02 = 8,545 : x
  2. Step 2: Convert to fraction form
    27,025.96/40,513.02 = 8,545/x
  3. Step 3: Cross multiply
    27,025.96x = 40,513.02 × 8,545
  4. Step 4: Simplify right side
    27,025.96x = 346,183,755.90
  5. Step 5: Solve for x
    x = 346,183,755.90/27,025.96
  6. Step 6: Final answer
    x = 12,809.30

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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.