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Finding the Fourth Proportional to 12,817.30, 19,225.95 and 5,419.84

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Solution

The fourth proportional to 12,817.30, 19,225.95 and 5,419.84 is: 8,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.30 : 19,225.95 = 5,419.84 : x
  2. Step 2: Convert to fraction form
    12,817.30/19,225.95 = 5,419.84/x
  3. Step 3: Cross multiply
    12,817.30x = 19,225.95 × 5,419.84
  4. Step 4: Simplify right side
    12,817.30x = 104,201,572.85
  5. Step 5: Solve for x
    x = 104,201,572.85/12,817.30
  6. Step 6: Final answer
    x = 8,129.76

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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.