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Finding the Fourth Proportional to 18,406.14, 25,398.99 and 10,449.69

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Solution

The fourth proportional to 18,406.14, 25,398.99 and 10,449.69 is: 14,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.14 : 25,398.99 = 10,449.69 : x
  2. Step 2: Convert to fraction form
    18,406.14/25,398.99 = 10,449.69/x
  3. Step 3: Cross multiply
    18,406.14x = 25,398.99 × 10,449.69
  4. Step 4: Simplify right side
    18,406.14x = 265,411,571.81
  5. Step 5: Solve for x
    x = 265,411,571.81/18,406.14
  6. Step 6: Final answer
    x = 14,419.73

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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.