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Finding the Fourth Proportional to 22,892.10, 31,594.14 and 12,821.10

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Solution

The fourth proportional to 22,892.10, 31,594.14 and 12,821.10 is: 17,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.10 : 31,594.14 = 12,821.10 : x
  2. Step 2: Convert to fraction form
    22,892.10/31,594.14 = 12,821.10/x
  3. Step 3: Cross multiply
    22,892.10x = 31,594.14 × 12,821.10
  4. Step 4: Simplify right side
    22,892.10x = 405,071,628.35
  5. Step 5: Solve for x
    x = 405,071,628.35/22,892.10
  6. Step 6: Final answer
    x = 17,694.82

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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.