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Finding the Fourth Proportional to 14,033.50, 21,043.20 and 4,670.21

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Solution

The fourth proportional to 14,033.50, 21,043.20 and 4,670.21 is: 7,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.50 : 21,043.20 = 4,670.21 : x
  2. Step 2: Convert to fraction form
    14,033.50/21,043.20 = 4,670.21/x
  3. Step 3: Cross multiply
    14,033.50x = 21,043.20 × 4,670.21
  4. Step 4: Simplify right side
    14,033.50x = 98,276,163.07
  5. Step 5: Solve for x
    x = 98,276,163.07/14,033.50
  6. Step 6: Final answer
    x = 7,002.97

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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.