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Finding the Fourth Proportional to 13,410.30, 20,114.82 and 6,385.20

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Solution

The fourth proportional to 13,410.30, 20,114.82 and 6,385.20 is: 9,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.30 : 20,114.82 = 6,385.20 : x
  2. Step 2: Convert to fraction form
    13,410.30/20,114.82 = 6,385.20/x
  3. Step 3: Cross multiply
    13,410.30x = 20,114.82 × 6,385.20
  4. Step 4: Simplify right side
    13,410.30x = 128,437,148.66
  5. Step 5: Solve for x
    x = 128,437,148.66/13,410.30
  6. Step 6: Final answer
    x = 9,577.50

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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.