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Finding the Fourth Proportional to 23,174.65, 31,981.05 and 12,564.31

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Solution

The fourth proportional to 23,174.65, 31,981.05 and 12,564.31 is: 17,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.65 : 31,981.05 = 12,564.31 : x
  2. Step 2: Convert to fraction form
    23,174.65/31,981.05 = 12,564.31/x
  3. Step 3: Cross multiply
    23,174.65x = 31,981.05 × 12,564.31
  4. Step 4: Simplify right side
    23,174.65x = 401,819,746.37
  5. Step 5: Solve for x
    x = 401,819,746.37/23,174.65
  6. Step 6: Final answer
    x = 17,338.76

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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.