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Finding the Fourth Proportional to 13,464.06, 20,200.95 and 6,893.34

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Solution

The fourth proportional to 13,464.06, 20,200.95 and 6,893.34 is: 10,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.06 : 20,200.95 = 6,893.34 : x
  2. Step 2: Convert to fraction form
    13,464.06/20,200.95 = 6,893.34/x
  3. Step 3: Cross multiply
    13,464.06x = 20,200.95 × 6,893.34
  4. Step 4: Simplify right side
    13,464.06x = 139,252,016.67
  5. Step 5: Solve for x
    x = 139,252,016.67/13,464.06
  6. Step 6: Final answer
    x = 10,342.50

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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.