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Finding the Fourth Proportional to 18,506.60, 25,538.90 and 10,123

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Solution

The fourth proportional to 18,506.60, 25,538.90 and 10,123 is: 13,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.60 : 25,538.90 = 10,123 : x
  2. Step 2: Convert to fraction form
    18,506.60/25,538.90 = 10,123/x
  3. Step 3: Cross multiply
    18,506.60x = 25,538.90 × 10,123
  4. Step 4: Simplify right side
    18,506.60x = 258,530,284.70
  5. Step 5: Solve for x
    x = 258,530,284.70/18,506.60
  6. Step 6: Final answer
    x = 13,969.63

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1.5x scale

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.