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Finding the Fourth Proportional to 12,100.50, 18,138.60 and 7,410.60

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Solution

The fourth proportional to 12,100.50, 18,138.60 and 7,410.60 is: 11,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.50 : 18,138.60 = 7,410.60 : x
  2. Step 2: Convert to fraction form
    12,100.50/18,138.60 = 7,410.60/x
  3. Step 3: Cross multiply
    12,100.50x = 18,138.60 × 7,410.60
  4. Step 4: Simplify right side
    12,100.50x = 134,417,909.16
  5. Step 5: Solve for x
    x = 134,417,909.16/12,100.50
  6. Step 6: Final answer
    x = 11,108.46

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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.