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Finding the Fourth Proportional to 12,808.34, 19,214.49 and 5,412.83

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Solution

The fourth proportional to 12,808.34, 19,214.49 and 5,412.83 is: 8,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.34 : 19,214.49 = 5,412.83 : x
  2. Step 2: Convert to fraction form
    12,808.34/19,214.49 = 5,412.83/x
  3. Step 3: Cross multiply
    12,808.34x = 19,214.49 × 5,412.83
  4. Step 4: Simplify right side
    12,808.34x = 104,004,671.83
  5. Step 5: Solve for x
    x = 104,004,671.83/12,808.34
  6. Step 6: Final answer
    x = 8,120.08

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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.