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Finding the Fourth Proportional to 12,810.40, 19,218.12 and 5,414.80

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Solution

The fourth proportional to 12,810.40, 19,218.12 and 5,414.80 is: 8,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.40 : 19,218.12 = 5,414.80 : x
  2. Step 2: Convert to fraction form
    12,810.40/19,218.12 = 5,414.80/x
  3. Step 3: Cross multiply
    12,810.40x = 19,218.12 × 5,414.80
  4. Step 4: Simplify right side
    12,810.40x = 104,062,276.18
  5. Step 5: Solve for x
    x = 104,062,276.18/12,810.40
  6. Step 6: Final answer
    x = 8,123.27

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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.