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Finding the Fourth Proportional to 15,160.18, 22,761.54 and 7,769.94

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Solution

The fourth proportional to 15,160.18, 22,761.54 and 7,769.94 is: 11,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160.18 : 22,761.54 = 7,769.94 : x
  2. Step 2: Convert to fraction form
    15,160.18/22,761.54 = 7,769.94/x
  3. Step 3: Cross multiply
    15,160.18x = 22,761.54 × 7,769.94
  4. Step 4: Simplify right side
    15,160.18x = 176,855,800.11
  5. Step 5: Solve for x
    x = 176,855,800.11/15,160.18
  6. Step 6: Final answer
    x = 11,665.81

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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.