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Finding the Fourth Proportional to 18,538.20, 25,582.70 and 10,154.70

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Solution

The fourth proportional to 18,538.20, 25,582.70 and 10,154.70 is: 14,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.20 : 25,582.70 = 10,154.70 : x
  2. Step 2: Convert to fraction form
    18,538.20/25,582.70 = 10,154.70/x
  3. Step 3: Cross multiply
    18,538.20x = 25,582.70 × 10,154.70
  4. Step 4: Simplify right side
    18,538.20x = 259,784,643.69
  5. Step 5: Solve for x
    x = 259,784,643.69/18,538.20
  6. Step 6: Final answer
    x = 14,013.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.