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Finding the Fourth Proportional to 16,411.92, 24,619.38 and 6,548.80

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Solution

The fourth proportional to 16,411.92, 24,619.38 and 6,548.80 is: 9,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.92 : 24,619.38 = 6,548.80 : x
  2. Step 2: Convert to fraction form
    16,411.92/24,619.38 = 6,548.80/x
  3. Step 3: Cross multiply
    16,411.92x = 24,619.38 × 6,548.80
  4. Step 4: Simplify right side
    16,411.92x = 161,227,395.74
  5. Step 5: Solve for x
    x = 161,227,395.74/16,411.92
  6. Step 6: Final answer
    x = 9,823.80

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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.