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Finding the Fourth Proportional to 16,400.44, 24,612.63 and 6,542.55

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Solution

The fourth proportional to 16,400.44, 24,612.63 and 6,542.55 is: 9,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.44 : 24,612.63 = 6,542.55 : x
  2. Step 2: Convert to fraction form
    16,400.44/24,612.63 = 6,542.55/x
  3. Step 3: Cross multiply
    16,400.44x = 24,612.63 × 6,542.55
  4. Step 4: Simplify right side
    16,400.44x = 161,029,362.41
  5. Step 5: Solve for x
    x = 161,029,362.41/16,400.44
  6. Step 6: Final answer
    x = 9,818.60

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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.