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Finding the Fourth Proportional to 26,586.72, 36,690.48 and 16,380

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Solution

The fourth proportional to 26,586.72, 36,690.48 and 16,380 is: 22,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586.72 : 36,690.48 = 16,380 : x
  2. Step 2: Convert to fraction form
    26,586.72/36,690.48 = 16,380/x
  3. Step 3: Cross multiply
    26,586.72x = 36,690.48 × 16,380
  4. Step 4: Simplify right side
    26,586.72x = 600,990,062.40
  5. Step 5: Solve for x
    x = 600,990,062.40/26,586.72
  6. Step 6: Final answer
    x = 22,604.90

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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.