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Finding the Fourth Proportional to 22,996.88, 31,735.70 and 12,925.32

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Solution

The fourth proportional to 22,996.88, 31,735.70 and 12,925.32 is: 17,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.88 : 31,735.70 = 12,925.32 : x
  2. Step 2: Convert to fraction form
    22,996.88/31,735.70 = 12,925.32/x
  3. Step 3: Cross multiply
    22,996.88x = 31,735.70 × 12,925.32
  4. Step 4: Simplify right side
    22,996.88x = 410,194,077.92
  5. Step 5: Solve for x
    x = 410,194,077.92/22,996.88
  6. Step 6: Final answer
    x = 17,836.94

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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.