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Finding the Fourth Proportional to 18,496.48, 25,530.48 and 10,543

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Solution

The fourth proportional to 18,496.48, 25,530.48 and 10,543 is: 14,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.48 : 25,530.48 = 10,543 : x
  2. Step 2: Convert to fraction form
    18,496.48/25,530.48 = 10,543/x
  3. Step 3: Cross multiply
    18,496.48x = 25,530.48 × 10,543
  4. Step 4: Simplify right side
    18,496.48x = 269,167,850.64
  5. Step 5: Solve for x
    x = 269,167,850.64/18,496.48
  6. Step 6: Final answer
    x = 14,552.38

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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.