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Finding the Fourth Proportional to 23,174.66, 31,980.83 and 13,105.07

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Solution

The fourth proportional to 23,174.66, 31,980.83 and 13,105.07 is: 18,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.66 : 31,980.83 = 13,105.07 : x
  2. Step 2: Convert to fraction form
    23,174.66/31,980.83 = 13,105.07/x
  3. Step 3: Cross multiply
    23,174.66x = 31,980.83 × 13,105.07
  4. Step 4: Simplify right side
    23,174.66x = 419,111,200.77
  5. Step 5: Solve for x
    x = 419,111,200.77/23,174.66
  6. Step 6: Final answer
    x = 18,084.89

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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.