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Finding the Fourth Proportional to 22,967.70, 31,697.26 and 12,896.81

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Solution

The fourth proportional to 22,967.70, 31,697.26 and 12,896.81 is: 17,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.70 : 31,697.26 = 12,896.81 : x
  2. Step 2: Convert to fraction form
    22,967.70/31,697.26 = 12,896.81/x
  3. Step 3: Cross multiply
    22,967.70x = 31,697.26 × 12,896.81
  4. Step 4: Simplify right side
    22,967.70x = 408,793,349.01
  5. Step 5: Solve for x
    x = 408,793,349.01/22,967.70
  6. Step 6: Final answer
    x = 17,798.62

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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.