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Finding the Fourth Proportional to 23,174.40, 31,980.71 and 12,564.06

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Solution

The fourth proportional to 23,174.40, 31,980.71 and 12,564.06 is: 17,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.40 : 31,980.71 = 12,564.06 : x
  2. Step 2: Convert to fraction form
    23,174.40/31,980.71 = 12,564.06/x
  3. Step 3: Cross multiply
    23,174.40x = 31,980.71 × 12,564.06
  4. Step 4: Simplify right side
    23,174.40x = 401,807,336.56
  5. Step 5: Solve for x
    x = 401,807,336.56/23,174.40
  6. Step 6: Final answer
    x = 17,338.41

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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.