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Finding the Fourth Proportional to 12,808.36, 19,215.80 and 5,414.68

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Solution

The fourth proportional to 12,808.36, 19,215.80 and 5,414.68 is: 8,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.36 : 19,215.80 = 5,414.68 : x
  2. Step 2: Convert to fraction form
    12,808.36/19,215.80 = 5,414.68/x
  3. Step 3: Cross multiply
    12,808.36x = 19,215.80 × 5,414.68
  4. Step 4: Simplify right side
    12,808.36x = 104,047,407.94
  5. Step 5: Solve for x
    x = 104,047,407.94/12,808.36
  6. Step 6: Final answer
    x = 8,123.40

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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.