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Finding the Fourth Proportional to 18,473.50, 25,493.57 and 10,090

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Solution

The fourth proportional to 18,473.50, 25,493.57 and 10,090 is: 13,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,473.50 : 25,493.57 = 10,090 : x
  2. Step 2: Convert to fraction form
    18,473.50/25,493.57 = 10,090/x
  3. Step 3: Cross multiply
    18,473.50x = 25,493.57 × 10,090
  4. Step 4: Simplify right side
    18,473.50x = 257,230,070.85
  5. Step 5: Solve for x
    x = 257,230,070.85/18,473.50
  6. Step 6: Final answer
    x = 13,924.27

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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.