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Finding the Fourth Proportional to 14,805.47, 22,214.36 and 6,481.20

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Solution

The fourth proportional to 14,805.47, 22,214.36 and 6,481.20 is: 9,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.47 : 22,214.36 = 6,481.20 : x
  2. Step 2: Convert to fraction form
    14,805.47/22,214.36 = 6,481.20/x
  3. Step 3: Cross multiply
    14,805.47x = 22,214.36 × 6,481.20
  4. Step 4: Simplify right side
    14,805.47x = 143,975,785.23
  5. Step 5: Solve for x
    x = 143,975,785.23/14,805.47
  6. Step 6: Final answer
    x = 9,724.50

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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.