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Finding the Fourth Proportional to 14,603.45, 21,913.61 and 6,169.32

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Solution

The fourth proportional to 14,603.45, 21,913.61 and 6,169.32 is: 9,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.45 : 21,913.61 = 6,169.32 : x
  2. Step 2: Convert to fraction form
    14,603.45/21,913.61 = 6,169.32/x
  3. Step 3: Cross multiply
    14,603.45x = 21,913.61 × 6,169.32
  4. Step 4: Simplify right side
    14,603.45x = 135,192,041.60
  5. Step 5: Solve for x
    x = 135,192,041.60/14,603.45
  6. Step 6: Final answer
    x = 9,257.54

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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.