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Finding the Fourth Proportional to 20,407.44, 28,162.68 and 12,448.38

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Solution

The fourth proportional to 20,407.44, 28,162.68 and 12,448.38 is: 17,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.44 : 28,162.68 = 12,448.38 : x
  2. Step 2: Convert to fraction form
    20,407.44/28,162.68 = 12,448.38/x
  3. Step 3: Cross multiply
    20,407.44x = 28,162.68 × 12,448.38
  4. Step 4: Simplify right side
    20,407.44x = 350,579,742.46
  5. Step 5: Solve for x
    x = 350,579,742.46/20,407.44
  6. Step 6: Final answer
    x = 17,179.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.