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Finding the Fourth Proportional to 20,125.94, 30,194.37 and 14,319.45

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Solution

The fourth proportional to 20,125.94, 30,194.37 and 14,319.45 is: 21,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.94 : 30,194.37 = 14,319.45 : x
  2. Step 2: Convert to fraction form
    20,125.94/30,194.37 = 14,319.45/x
  3. Step 3: Cross multiply
    20,125.94x = 30,194.37 × 14,319.45
  4. Step 4: Simplify right side
    20,125.94x = 432,366,771.50
  5. Step 5: Solve for x
    x = 432,366,771.50/20,125.94
  6. Step 6: Final answer
    x = 21,483.07

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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.