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Finding the Fourth Proportional to 18,506.50, 25,539.38 and 10,123

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Solution

The fourth proportional to 18,506.50, 25,539.38 and 10,123 is: 13,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.50 : 25,539.38 = 10,123 : x
  2. Step 2: Convert to fraction form
    18,506.50/25,539.38 = 10,123/x
  3. Step 3: Cross multiply
    18,506.50x = 25,539.38 × 10,123
  4. Step 4: Simplify right side
    18,506.50x = 258,535,143.74
  5. Step 5: Solve for x
    x = 258,535,143.74/18,506.50
  6. Step 6: Final answer
    x = 13,969.96

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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.