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Finding the Fourth Proportional to 25,632.90, 38,453.46 and 8,106.84

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Solution

The fourth proportional to 25,632.90, 38,453.46 and 8,106.84 is: 12,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.90 : 38,453.46 = 8,106.84 : x
  2. Step 2: Convert to fraction form
    25,632.90/38,453.46 = 8,106.84/x
  3. Step 3: Cross multiply
    25,632.90x = 38,453.46 × 8,106.84
  4. Step 4: Simplify right side
    25,632.90x = 311,736,047.67
  5. Step 5: Solve for x
    x = 311,736,047.67/25,632.90
  6. Step 6: Final answer
    x = 12,161.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.