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Finding the Fourth Proportional to 14,606.45, 21,912.39 and 4,743.08

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Solution

The fourth proportional to 14,606.45, 21,912.39 and 4,743.08 is: 7,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.45 : 21,912.39 = 4,743.08 : x
  2. Step 2: Convert to fraction form
    14,606.45/21,912.39 = 4,743.08/x
  3. Step 3: Cross multiply
    14,606.45x = 21,912.39 × 4,743.08
  4. Step 4: Simplify right side
    14,606.45x = 103,932,109.20
  5. Step 5: Solve for x
    x = 103,932,109.20/14,606.45
  6. Step 6: Final answer
    x = 7,115.50

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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.