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Finding the Fourth Proportional to 14,003.50, 21,004.07 and 4,640.45

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Solution

The fourth proportional to 14,003.50, 21,004.07 and 4,640.45 is: 6,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.50 : 21,004.07 = 4,640.45 : x
  2. Step 2: Convert to fraction form
    14,003.50/21,004.07 = 4,640.45/x
  3. Step 3: Cross multiply
    14,003.50x = 21,004.07 × 4,640.45
  4. Step 4: Simplify right side
    14,003.50x = 97,468,336.63
  5. Step 5: Solve for x
    x = 97,468,336.63/14,003.50
  6. Step 6: Final answer
    x = 6,960.28

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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.