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Finding the Fourth Proportional to 14,456.69, 21,670.27 and 8,203.50

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Solution

The fourth proportional to 14,456.69, 21,670.27 and 8,203.50 is: 12,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.69 : 21,670.27 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    14,456.69/21,670.27 = 8,203.50/x
  3. Step 3: Cross multiply
    14,456.69x = 21,670.27 × 8,203.50
  4. Step 4: Simplify right side
    14,456.69x = 177,772,039.44
  5. Step 5: Solve for x
    x = 177,772,039.44/14,456.69
  6. Step 6: Final answer
    x = 12,296.87

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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.