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Finding the Fourth Proportional to 22,568.21, 31,143.92 and 13,004.58

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Solution

The fourth proportional to 22,568.21, 31,143.92 and 13,004.58 is: 17,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.21 : 31,143.92 = 13,004.58 : x
  2. Step 2: Convert to fraction form
    22,568.21/31,143.92 = 13,004.58/x
  3. Step 3: Cross multiply
    22,568.21x = 31,143.92 × 13,004.58
  4. Step 4: Simplify right side
    22,568.21x = 405,013,650.92
  5. Step 5: Solve for x
    x = 405,013,650.92/22,568.21
  6. Step 6: Final answer
    x = 17,946.20

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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.