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Finding the Fourth Proportional to 12,141.81, 16,755.76 and 7,105.05

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Solution

The fourth proportional to 12,141.81, 16,755.76 and 7,105.05 is: 9,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.81 : 16,755.76 = 7,105.05 : x
  2. Step 2: Convert to fraction form
    12,141.81/16,755.76 = 7,105.05/x
  3. Step 3: Cross multiply
    12,141.81x = 16,755.76 × 7,105.05
  4. Step 4: Simplify right side
    12,141.81x = 119,050,428.81
  5. Step 5: Solve for x
    x = 119,050,428.81/12,141.81
  6. Step 6: Final answer
    x = 9,805.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.