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Finding the Fourth Proportional to 25,419.69, 38,142.83 and 18,457.21

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Solution

The fourth proportional to 25,419.69, 38,142.83 and 18,457.21 is: 27,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419.69 : 38,142.83 = 18,457.21 : x
  2. Step 2: Convert to fraction form
    25,419.69/38,142.83 = 18,457.21/x
  3. Step 3: Cross multiply
    25,419.69x = 38,142.83 × 18,457.21
  4. Step 4: Simplify right side
    25,419.69x = 704,010,272.52
  5. Step 5: Solve for x
    x = 704,010,272.52/25,419.69
  6. Step 6: Final answer
    x = 27,695.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.