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Finding the Fourth Proportional to 22,996.89, 31,735.64 and 13,436.06

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Solution

The fourth proportional to 22,996.89, 31,735.64 and 13,436.06 is: 18,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.89 : 31,735.64 = 13,436.06 : x
  2. Step 2: Convert to fraction form
    22,996.89/31,735.64 = 13,436.06/x
  3. Step 3: Cross multiply
    22,996.89x = 31,735.64 × 13,436.06
  4. Step 4: Simplify right side
    22,996.89x = 426,401,737.32
  5. Step 5: Solve for x
    x = 426,401,737.32/22,996.89
  6. Step 6: Final answer
    x = 18,541.71

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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.