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Finding the Fourth Proportional to 20,035.47, 30,054.02 and 8,940.09

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Solution

The fourth proportional to 20,035.47, 30,054.02 and 8,940.09 is: 13,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.47 : 30,054.02 = 8,940.09 : x
  2. Step 2: Convert to fraction form
    20,035.47/30,054.02 = 8,940.09/x
  3. Step 3: Cross multiply
    20,035.47x = 30,054.02 × 8,940.09
  4. Step 4: Simplify right side
    20,035.47x = 268,685,598.96
  5. Step 5: Solve for x
    x = 268,685,598.96/20,035.47
  6. Step 6: Final answer
    x = 13,410.50

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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.