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Finding the Fourth Proportional to 15,980.38, 23,974.02 and 6,119.66

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Solution

The fourth proportional to 15,980.38, 23,974.02 and 6,119.66 is: 9,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.38 : 23,974.02 = 6,119.66 : x
  2. Step 2: Convert to fraction form
    15,980.38/23,974.02 = 6,119.66/x
  3. Step 3: Cross multiply
    15,980.38x = 23,974.02 × 6,119.66
  4. Step 4: Simplify right side
    15,980.38x = 146,712,731.36
  5. Step 5: Solve for x
    x = 146,712,731.36/15,980.38
  6. Step 6: Final answer
    x = 9,180.81

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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.