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Finding the Fourth Proportional to 12,684.96, 19,022.76 and 4,362.66

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Solution

The fourth proportional to 12,684.96, 19,022.76 and 4,362.66 is: 6,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.96 : 19,022.76 = 4,362.66 : x
  2. Step 2: Convert to fraction form
    12,684.96/19,022.76 = 4,362.66/x
  3. Step 3: Cross multiply
    12,684.96x = 19,022.76 × 4,362.66
  4. Step 4: Simplify right side
    12,684.96x = 82,989,834.14
  5. Step 5: Solve for x
    x = 82,989,834.14/12,684.96
  6. Step 6: Final answer
    x = 6,542.38

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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.