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Finding the Fourth Proportional to 20,591.94, 28,419.38 and 13,429.51

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Solution

The fourth proportional to 20,591.94, 28,419.38 and 13,429.51 is: 18,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.94 : 28,419.38 = 13,429.51 : x
  2. Step 2: Convert to fraction form
    20,591.94/28,419.38 = 13,429.51/x
  3. Step 3: Cross multiply
    20,591.94x = 28,419.38 × 13,429.51
  4. Step 4: Simplify right side
    20,591.94x = 381,658,347.90
  5. Step 5: Solve for x
    x = 381,658,347.90/20,591.94
  6. Step 6: Final answer
    x = 18,534.36

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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.