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Finding the Fourth Proportional to 20,291.28, 28,003.26 and 11,340

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Solution

The fourth proportional to 20,291.28, 28,003.26 and 11,340 is: 15,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.28 : 28,003.26 = 11,340 : x
  2. Step 2: Convert to fraction form
    20,291.28/28,003.26 = 11,340/x
  3. Step 3: Cross multiply
    20,291.28x = 28,003.26 × 11,340
  4. Step 4: Simplify right side
    20,291.28x = 317,556,968.40
  5. Step 5: Solve for x
    x = 317,556,968.40/20,291.28
  6. Step 6: Final answer
    x = 15,649.92

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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.