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Finding the Fourth Proportional to 18,589.59, 25,666.97 and 11,429.12

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Solution

The fourth proportional to 18,589.59, 25,666.97 and 11,429.12 is: 15,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.59 : 25,666.97 = 11,429.12 : x
  2. Step 2: Convert to fraction form
    18,589.59/25,666.97 = 11,429.12/x
  3. Step 3: Cross multiply
    18,589.59x = 25,666.97 × 11,429.12
  4. Step 4: Simplify right side
    18,589.59x = 293,350,887.19
  5. Step 5: Solve for x
    x = 293,350,887.19/18,589.59
  6. Step 6: Final answer
    x = 15,780.38

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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.