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Finding the Fourth Proportional to 13,405.40, 20,108.10 and 12,530.60

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Solution

The fourth proportional to 13,405.40, 20,108.10 and 12,530.60 is: 18,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.40 : 20,108.10 = 12,530.60 : x
  2. Step 2: Convert to fraction form
    13,405.40/20,108.10 = 12,530.60/x
  3. Step 3: Cross multiply
    13,405.40x = 20,108.10 × 12,530.60
  4. Step 4: Simplify right side
    13,405.40x = 251,966,557.86
  5. Step 5: Solve for x
    x = 251,966,557.86/13,405.40
  6. Step 6: Final answer
    x = 18,795.90

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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.