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Finding the Fourth Proportional to 14,059.92, 21,092.16 and 5,295.60

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Solution

The fourth proportional to 14,059.92, 21,092.16 and 5,295.60 is: 7,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.92 : 21,092.16 = 5,295.60 : x
  2. Step 2: Convert to fraction form
    14,059.92/21,092.16 = 5,295.60/x
  3. Step 3: Cross multiply
    14,059.92x = 21,092.16 × 5,295.60
  4. Step 4: Simplify right side
    14,059.92x = 111,695,642.50
  5. Step 5: Solve for x
    x = 111,695,642.50/14,059.92
  6. Step 6: Final answer
    x = 7,944.26

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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.