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Finding the Fourth Proportional to 14,455.69, 21,668.77 and 8,202.50

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Solution

The fourth proportional to 14,455.69, 21,668.77 and 8,202.50 is: 12,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.69 : 21,668.77 = 8,202.50 : x
  2. Step 2: Convert to fraction form
    14,455.69/21,668.77 = 8,202.50/x
  3. Step 3: Cross multiply
    14,455.69x = 21,668.77 × 8,202.50
  4. Step 4: Simplify right side
    14,455.69x = 177,737,957.07
  5. Step 5: Solve for x
    x = 177,737,957.07/14,455.69
  6. Step 6: Final answer
    x = 12,295.36

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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.