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Finding the Fourth Proportional to 26,596.32, 39,898.80 and 8,124

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Solution

The fourth proportional to 26,596.32, 39,898.80 and 8,124 is: 12,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596.32 : 39,898.80 = 8,124 : x
  2. Step 2: Convert to fraction form
    26,596.32/39,898.80 = 8,124/x
  3. Step 3: Cross multiply
    26,596.32x = 39,898.80 × 8,124
  4. Step 4: Simplify right side
    26,596.32x = 324,137,851.20
  5. Step 5: Solve for x
    x = 324,137,851.20/26,596.32
  6. Step 6: Final answer
    x = 12,187.32

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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.