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Finding the Fourth Proportional to 18,574.50, 25,632.84 and 10,191

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Solution

The fourth proportional to 18,574.50, 25,632.84 and 10,191 is: 14,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.50 : 25,632.84 = 10,191 : x
  2. Step 2: Convert to fraction form
    18,574.50/25,632.84 = 10,191/x
  3. Step 3: Cross multiply
    18,574.50x = 25,632.84 × 10,191
  4. Step 4: Simplify right side
    18,574.50x = 261,224,272.44
  5. Step 5: Solve for x
    x = 261,224,272.44/18,574.50
  6. Step 6: Final answer
    x = 14,063.60

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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.