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Finding the Fourth Proportional to 16,271.10, 24,406.65 and 6,405

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Solution

The fourth proportional to 16,271.10, 24,406.65 and 6,405 is: 9,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.10 : 24,406.65 = 6,405 : x
  2. Step 2: Convert to fraction form
    16,271.10/24,406.65 = 6,405/x
  3. Step 3: Cross multiply
    16,271.10x = 24,406.65 × 6,405
  4. Step 4: Simplify right side
    16,271.10x = 156,324,593.25
  5. Step 5: Solve for x
    x = 156,324,593.25/16,271.10
  6. Step 6: Final answer
    x = 9,607.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.