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Finding the Fourth Proportional to 13,420.15, 20,129.85 and 6,405.11

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Solution

The fourth proportional to 13,420.15, 20,129.85 and 6,405.11 is: 9,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.15 : 20,129.85 = 6,405.11 : x
  2. Step 2: Convert to fraction form
    13,420.15/20,129.85 = 6,405.11/x
  3. Step 3: Cross multiply
    13,420.15x = 20,129.85 × 6,405.11
  4. Step 4: Simplify right side
    13,420.15x = 128,933,878.37
  5. Step 5: Solve for x
    x = 128,933,878.37/13,420.15
  6. Step 6: Final answer
    x = 9,607.49

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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.