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Finding the Fourth Proportional to 26,606.57, 39,913.92 and 7,884.63

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Solution

The fourth proportional to 26,606.57, 39,913.92 and 7,884.63 is: 11,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,606.57 : 39,913.92 = 7,884.63 : x
  2. Step 2: Convert to fraction form
    26,606.57/39,913.92 = 7,884.63/x
  3. Step 3: Cross multiply
    26,606.57x = 39,913.92 × 7,884.63
  4. Step 4: Simplify right side
    26,606.57x = 314,706,491.05
  5. Step 5: Solve for x
    x = 314,706,491.05/26,606.57
  6. Step 6: Final answer
    x = 11,828.15

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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.