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Finding the Fourth Proportional to 13,934.21, 20,901.72 and 6,542.15

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Solution

The fourth proportional to 13,934.21, 20,901.72 and 6,542.15 is: 9,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.21 : 20,901.72 = 6,542.15 : x
  2. Step 2: Convert to fraction form
    13,934.21/20,901.72 = 6,542.15/x
  3. Step 3: Cross multiply
    13,934.21x = 20,901.72 × 6,542.15
  4. Step 4: Simplify right side
    13,934.21x = 136,742,187.50
  5. Step 5: Solve for x
    x = 136,742,187.50/13,934.21
  6. Step 6: Final answer
    x = 9,813.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.