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Finding the Fourth Proportional to 18,381.56, 25,372.33 and 10,429.07

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Solution

The fourth proportional to 18,381.56, 25,372.33 and 10,429.07 is: 14,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.56 : 25,372.33 = 10,429.07 : x
  2. Step 2: Convert to fraction form
    18,381.56/25,372.33 = 10,429.07/x
  3. Step 3: Cross multiply
    18,381.56x = 25,372.33 × 10,429.07
  4. Step 4: Simplify right side
    18,381.56x = 264,609,652.70
  5. Step 5: Solve for x
    x = 264,609,652.70/18,381.56
  6. Step 6: Final answer
    x = 14,395.39

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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.