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Finding the Fourth Proportional to 12,400.50, 18,603.45 and 5,475

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Solution

The fourth proportional to 12,400.50, 18,603.45 and 5,475 is: 8,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.50 : 18,603.45 = 5,475 : x
  2. Step 2: Convert to fraction form
    12,400.50/18,603.45 = 5,475/x
  3. Step 3: Cross multiply
    12,400.50x = 18,603.45 × 5,475
  4. Step 4: Simplify right side
    12,400.50x = 101,853,888.75
  5. Step 5: Solve for x
    x = 101,853,888.75/12,400.50
  6. Step 6: Final answer
    x = 8,213.69

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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.