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Finding the Fourth Proportional to 26,509.72, 36,568.94 and 16,295.20

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Solution

The fourth proportional to 26,509.72, 36,568.94 and 16,295.20 is: 22,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.72 : 36,568.94 = 16,295.20 : x
  2. Step 2: Convert to fraction form
    26,509.72/36,568.94 = 16,295.20/x
  3. Step 3: Cross multiply
    26,509.72x = 36,568.94 × 16,295.20
  4. Step 4: Simplify right side
    26,509.72x = 595,898,191.09
  5. Step 5: Solve for x
    x = 595,898,191.09/26,509.72
  6. Step 6: Final answer
    x = 22,478.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.