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Finding the Fourth Proportional to 12,814.80, 19,222.20 and 5,427.60

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Solution

The fourth proportional to 12,814.80, 19,222.20 and 5,427.60 is: 8,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.80 : 19,222.20 = 5,427.60 : x
  2. Step 2: Convert to fraction form
    12,814.80/19,222.20 = 5,427.60/x
  3. Step 3: Cross multiply
    12,814.80x = 19,222.20 × 5,427.60
  4. Step 4: Simplify right side
    12,814.80x = 104,330,412.72
  5. Step 5: Solve for x
    x = 104,330,412.72/12,814.80
  6. Step 6: Final answer
    x = 8,141.40

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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.