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Finding the Fourth Proportional to 23,174.52, 31,980.76 and 12,564.15

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Solution

The fourth proportional to 23,174.52, 31,980.76 and 12,564.15 is: 17,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.52 : 31,980.76 = 12,564.15 : x
  2. Step 2: Convert to fraction form
    23,174.52/31,980.76 = 12,564.15/x
  3. Step 3: Cross multiply
    23,174.52x = 31,980.76 × 12,564.15
  4. Step 4: Simplify right side
    23,174.52x = 401,811,065.75
  5. Step 5: Solve for x
    x = 401,811,065.75/23,174.52
  6. Step 6: Final answer
    x = 17,338.48

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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.