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Finding the Fourth Proportional to 18,653.69, 25,742.19 and 10,155.86

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Solution

The fourth proportional to 18,653.69, 25,742.19 and 10,155.86 is: 14,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.69 : 25,742.19 = 10,155.86 : x
  2. Step 2: Convert to fraction form
    18,653.69/25,742.19 = 10,155.86/x
  3. Step 3: Cross multiply
    18,653.69x = 25,742.19 × 10,155.86
  4. Step 4: Simplify right side
    18,653.69x = 261,434,077.73
  5. Step 5: Solve for x
    x = 261,434,077.73/18,653.69
  6. Step 6: Final answer
    x = 14,015.14

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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.