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Finding the Fourth Proportional to 16,114.52, 24,172.94 and 6,745.11

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Solution

The fourth proportional to 16,114.52, 24,172.94 and 6,745.11 is: 10,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.52 : 24,172.94 = 6,745.11 : x
  2. Step 2: Convert to fraction form
    16,114.52/24,172.94 = 6,745.11/x
  3. Step 3: Cross multiply
    16,114.52x = 24,172.94 × 6,745.11
  4. Step 4: Simplify right side
    16,114.52x = 163,049,130.89
  5. Step 5: Solve for x
    x = 163,049,130.89/16,114.52
  6. Step 6: Final answer
    x = 10,118.15

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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.