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Finding the Fourth Proportional to 12,192.56, 18,289.47 and 3,428.15

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Solution

The fourth proportional to 12,192.56, 18,289.47 and 3,428.15 is: 5,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.56 : 18,289.47 = 3,428.15 : x
  2. Step 2: Convert to fraction form
    12,192.56/18,289.47 = 3,428.15/x
  3. Step 3: Cross multiply
    12,192.56x = 18,289.47 × 3,428.15
  4. Step 4: Simplify right side
    12,192.56x = 62,698,955.13
  5. Step 5: Solve for x
    x = 62,698,955.13/12,192.56
  6. Step 6: Final answer
    x = 5,142.40

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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.