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Finding the Fourth Proportional to 18,605.25, 25,675.47 and 10,221.75

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Solution

The fourth proportional to 18,605.25, 25,675.47 and 10,221.75 is: 14,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605.25 : 25,675.47 = 10,221.75 : x
  2. Step 2: Convert to fraction form
    18,605.25/25,675.47 = 10,221.75/x
  3. Step 3: Cross multiply
    18,605.25x = 25,675.47 × 10,221.75
  4. Step 4: Simplify right side
    18,605.25x = 262,448,235.47
  5. Step 5: Solve for x
    x = 262,448,235.47/18,605.25
  6. Step 6: Final answer
    x = 14,106.14

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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.