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Finding the Fourth Proportional to 23,005.57, 31,747.49 and 12,934.06

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Solution

The fourth proportional to 23,005.57, 31,747.49 and 12,934.06 is: 17,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.57 : 31,747.49 = 12,934.06 : x
  2. Step 2: Convert to fraction form
    23,005.57/31,747.49 = 12,934.06/x
  3. Step 3: Cross multiply
    23,005.57x = 31,747.49 × 12,934.06
  4. Step 4: Simplify right side
    23,005.57x = 410,623,940.51
  5. Step 5: Solve for x
    x = 410,623,940.51/23,005.57
  6. Step 6: Final answer
    x = 17,848.89

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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.