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Finding the Fourth Proportional to 12,817.28, 19,214.94 and 5,024.30

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Solution

The fourth proportional to 12,817.28, 19,214.94 and 5,024.30 is: 7,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.28 : 19,214.94 = 5,024.30 : x
  2. Step 2: Convert to fraction form
    12,817.28/19,214.94 = 5,024.30/x
  3. Step 3: Cross multiply
    12,817.28x = 19,214.94 × 5,024.30
  4. Step 4: Simplify right side
    12,817.28x = 96,541,623.04
  5. Step 5: Solve for x
    x = 96,541,623.04/12,817.28
  6. Step 6: Final answer
    x = 7,532.15

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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.