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Finding the Fourth Proportional to 23,029.84, 31,781.84 and 12,958.32

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Solution

The fourth proportional to 23,029.84, 31,781.84 and 12,958.32 is: 17,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.84 : 31,781.84 = 12,958.32 : x
  2. Step 2: Convert to fraction form
    23,029.84/31,781.84 = 12,958.32/x
  3. Step 3: Cross multiply
    23,029.84x = 31,781.84 × 12,958.32
  4. Step 4: Simplify right side
    23,029.84x = 411,839,252.91
  5. Step 5: Solve for x
    x = 411,839,252.91/23,029.84
  6. Step 6: Final answer
    x = 17,882.85

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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.