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Finding the Fourth Proportional to 22,892.63, 31,592.39 and 12,823.11

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Solution

The fourth proportional to 22,892.63, 31,592.39 and 12,823.11 is: 17,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.63 : 31,592.39 = 12,823.11 : x
  2. Step 2: Convert to fraction form
    22,892.63/31,592.39 = 12,823.11/x
  3. Step 3: Cross multiply
    22,892.63x = 31,592.39 × 12,823.11
  4. Step 4: Simplify right side
    22,892.63x = 405,112,628.02
  5. Step 5: Solve for x
    x = 405,112,628.02/22,892.63
  6. Step 6: Final answer
    x = 17,696.21

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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.