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Finding the Fourth Proportional to 12,810.42, 19,220.34 and 5,414.22

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Solution

The fourth proportional to 12,810.42, 19,220.34 and 5,414.22 is: 8,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.42 : 19,220.34 = 5,414.22 : x
  2. Step 2: Convert to fraction form
    12,810.42/19,220.34 = 5,414.22/x
  3. Step 3: Cross multiply
    12,810.42x = 19,220.34 × 5,414.22
  4. Step 4: Simplify right side
    12,810.42x = 104,063,149.23
  5. Step 5: Solve for x
    x = 104,063,149.23/12,810.42
  6. Step 6: Final answer
    x = 8,123.32

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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.