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Finding the Fourth Proportional to 14,140.68, 21,200.09 and 9,460.50

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Solution

The fourth proportional to 14,140.68, 21,200.09 and 9,460.50 is: 14,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.68 : 21,200.09 = 9,460.50 : x
  2. Step 2: Convert to fraction form
    14,140.68/21,200.09 = 9,460.50/x
  3. Step 3: Cross multiply
    14,140.68x = 21,200.09 × 9,460.50
  4. Step 4: Simplify right side
    14,140.68x = 200,563,404.14
  5. Step 5: Solve for x
    x = 200,563,404.14/14,140.68
  6. Step 6: Final answer
    x = 14,183.43

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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.