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Finding the Fourth Proportional to 20,536.88, 28,340.76 and 11,105.40

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Solution

The fourth proportional to 20,536.88, 28,340.76 and 11,105.40 is: 15,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.88 : 28,340.76 = 11,105.40 : x
  2. Step 2: Convert to fraction form
    20,536.88/28,340.76 = 11,105.40/x
  3. Step 3: Cross multiply
    20,536.88x = 28,340.76 × 11,105.40
  4. Step 4: Simplify right side
    20,536.88x = 314,735,476.10
  5. Step 5: Solve for x
    x = 314,735,476.10/20,536.88
  6. Step 6: Final answer
    x = 15,325.38

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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.