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Finding the Fourth Proportional to 18,047.80, 24,906.78 and 10,090

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Solution

The fourth proportional to 18,047.80, 24,906.78 and 10,090 is: 13,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047.80 : 24,906.78 = 10,090 : x
  2. Step 2: Convert to fraction form
    18,047.80/24,906.78 = 10,090/x
  3. Step 3: Cross multiply
    18,047.80x = 24,906.78 × 10,090
  4. Step 4: Simplify right side
    18,047.80x = 251,309,410.20
  5. Step 5: Solve for x
    x = 251,309,410.20/18,047.80
  6. Step 6: Final answer
    x = 13,924.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.