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Finding the Fourth Proportional to 22,969.24, 31,697.94 and 12,760

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Solution

The fourth proportional to 22,969.24, 31,697.94 and 12,760 is: 17,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.24 : 31,697.94 = 12,760 : x
  2. Step 2: Convert to fraction form
    22,969.24/31,697.94 = 12,760/x
  3. Step 3: Cross multiply
    22,969.24x = 31,697.94 × 12,760
  4. Step 4: Simplify right side
    22,969.24x = 404,465,714.40
  5. Step 5: Solve for x
    x = 404,465,714.40/22,969.24
  6. Step 6: Final answer
    x = 17,609.02

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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.