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Finding the Fourth Proportional to 16,110.40, 24,146.40 and 6,750.40

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Solution

The fourth proportional to 16,110.40, 24,146.40 and 6,750.40 is: 10,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110.40 : 24,146.40 = 6,750.40 : x
  2. Step 2: Convert to fraction form
    16,110.40/24,146.40 = 6,750.40/x
  3. Step 3: Cross multiply
    16,110.40x = 24,146.40 × 6,750.40
  4. Step 4: Simplify right side
    16,110.40x = 162,997,858.56
  5. Step 5: Solve for x
    x = 162,997,858.56/16,110.40
  6. Step 6: Final answer
    x = 10,117.56

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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.