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Finding the Fourth Proportional to 34,193.94, 51,313.82 and 12,007.40

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Solution

The fourth proportional to 34,193.94, 51,313.82 and 12,007.40 is: 18,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.94 : 51,313.82 = 12,007.40 : x
  2. Step 2: Convert to fraction form
    34,193.94/51,313.82 = 12,007.40/x
  3. Step 3: Cross multiply
    34,193.94x = 51,313.82 × 12,007.40
  4. Step 4: Simplify right side
    34,193.94x = 616,145,562.27
  5. Step 5: Solve for x
    x = 616,145,562.27/34,193.94
  6. Step 6: Final answer
    x = 18,019.14

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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.