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Finding the Fourth Proportional to 12,812.96, 19,191.60 and 6,225.28

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Solution

The fourth proportional to 12,812.96, 19,191.60 and 6,225.28 is: 9,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.96 : 19,191.60 = 6,225.28 : x
  2. Step 2: Convert to fraction form
    12,812.96/19,191.60 = 6,225.28/x
  3. Step 3: Cross multiply
    12,812.96x = 19,191.60 × 6,225.28
  4. Step 4: Simplify right side
    12,812.96x = 119,473,083.65
  5. Step 5: Solve for x
    x = 119,473,083.65/12,812.96
  6. Step 6: Final answer
    x = 9,324.39

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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.