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Finding the Fourth Proportional to 18,406, 25,398.68 and 10,448.56

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Solution

The fourth proportional to 18,406, 25,398.68 and 10,448.56 is: 14,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 25,398.68 = 10,448.56 : x
  2. Step 2: Convert to fraction form
    18,406/25,398.68 = 10,448.56/x
  3. Step 3: Cross multiply
    18,406x = 25,398.68 × 10,448.56
  4. Step 4: Simplify right side
    18,406x = 265,379,631.90
  5. Step 5: Solve for x
    x = 265,379,631.90/18,406
  6. Step 6: Final answer
    x = 14,418.10

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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.