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Finding the Fourth Proportional to 22,892.93, 31,592.94 and 12,821.33

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Solution

The fourth proportional to 22,892.93, 31,592.94 and 12,821.33 is: 17,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.93 : 31,592.94 = 12,821.33 : x
  2. Step 2: Convert to fraction form
    22,892.93/31,592.94 = 12,821.33/x
  3. Step 3: Cross multiply
    22,892.93x = 31,592.94 × 12,821.33
  4. Step 4: Simplify right side
    22,892.93x = 405,063,509.41
  5. Step 5: Solve for x
    x = 405,063,509.41/22,892.93
  6. Step 6: Final answer
    x = 17,693.83

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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.