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Finding the Fourth Proportional to 18,405.69, 25,400.16 and 10,448.16

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Solution

The fourth proportional to 18,405.69, 25,400.16 and 10,448.16 is: 14,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405.69 : 25,400.16 = 10,448.16 : x
  2. Step 2: Convert to fraction form
    18,405.69/25,400.16 = 10,448.16/x
  3. Step 3: Cross multiply
    18,405.69x = 25,400.16 × 10,448.16
  4. Step 4: Simplify right side
    18,405.69x = 265,384,935.71
  5. Step 5: Solve for x
    x = 265,384,935.71/18,405.69
  6. Step 6: Final answer
    x = 14,418.64

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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.