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Finding the Fourth Proportional to 18,549, 25,604.10 and 11,097

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Solution

The fourth proportional to 18,549, 25,604.10 and 11,097 is: 15,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 25,604.10 = 11,097 : x
  2. Step 2: Convert to fraction form
    18,549/25,604.10 = 11,097/x
  3. Step 3: Cross multiply
    18,549x = 25,604.10 × 11,097
  4. Step 4: Simplify right side
    18,549x = 284,128,697.70
  5. Step 5: Solve for x
    x = 284,128,697.70/18,549
  6. Step 6: Final answer
    x = 15,317.74

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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.