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Finding the Fourth Proportional to 18,652.44, 25,740.54 and 10,269

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Solution

The fourth proportional to 18,652.44, 25,740.54 and 10,269 is: 14,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.44 : 25,740.54 = 10,269 : x
  2. Step 2: Convert to fraction form
    18,652.44/25,740.54 = 10,269/x
  3. Step 3: Cross multiply
    18,652.44x = 25,740.54 × 10,269
  4. Step 4: Simplify right side
    18,652.44x = 264,329,605.26
  5. Step 5: Solve for x
    x = 264,329,605.26/18,652.44
  6. Step 6: Final answer
    x = 14,171.32

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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.