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Finding the Fourth Proportional to 20,465.88, 28,241.76 and 11,513.76

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Solution

The fourth proportional to 20,465.88, 28,241.76 and 11,513.76 is: 15,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.88 : 28,241.76 = 11,513.76 : x
  2. Step 2: Convert to fraction form
    20,465.88/28,241.76 = 11,513.76/x
  3. Step 3: Cross multiply
    20,465.88x = 28,241.76 × 11,513.76
  4. Step 4: Simplify right side
    20,465.88x = 325,168,846.62
  5. Step 5: Solve for x
    x = 325,168,846.62/20,465.88
  6. Step 6: Final answer
    x = 15,888.34

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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.