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Finding the Fourth Proportional to 16,271.48, 24,407.22 and 6,411.80

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Solution

The fourth proportional to 16,271.48, 24,407.22 and 6,411.80 is: 9,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.48 : 24,407.22 = 6,411.80 : x
  2. Step 2: Convert to fraction form
    16,271.48/24,407.22 = 6,411.80/x
  3. Step 3: Cross multiply
    16,271.48x = 24,407.22 × 6,411.80
  4. Step 4: Simplify right side
    16,271.48x = 156,494,213.20
  5. Step 5: Solve for x
    x = 156,494,213.20/16,271.48
  6. Step 6: Final answer
    x = 9,617.70

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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.