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Finding the Fourth Proportional to 18,632.75, 25,713.53 and 10,135.06

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Solution

The fourth proportional to 18,632.75, 25,713.53 and 10,135.06 is: 13,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.75 : 25,713.53 = 10,135.06 : x
  2. Step 2: Convert to fraction form
    18,632.75/25,713.53 = 10,135.06/x
  3. Step 3: Cross multiply
    18,632.75x = 25,713.53 × 10,135.06
  4. Step 4: Simplify right side
    18,632.75x = 260,608,169.36
  5. Step 5: Solve for x
    x = 260,608,169.36/18,632.75
  6. Step 6: Final answer
    x = 13,986.57

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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.