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Finding the Fourth Proportional to 12,878.37, 19,325.68 and 5,482.81

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Solution

The fourth proportional to 12,878.37, 19,325.68 and 5,482.81 is: 8,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.37 : 19,325.68 = 5,482.81 : x
  2. Step 2: Convert to fraction form
    12,878.37/19,325.68 = 5,482.81/x
  3. Step 3: Cross multiply
    12,878.37x = 19,325.68 × 5,482.81
  4. Step 4: Simplify right side
    12,878.37x = 105,959,031.56
  5. Step 5: Solve for x
    x = 105,959,031.56/12,878.37
  6. Step 6: Final answer
    x = 8,227.67

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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.