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Finding the Fourth Proportional to 22,902.49, 31,607.28 and 12,833.17

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Solution

The fourth proportional to 22,902.49, 31,607.28 and 12,833.17 is: 17,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.49 : 31,607.28 = 12,833.17 : x
  2. Step 2: Convert to fraction form
    22,902.49/31,607.28 = 12,833.17/x
  3. Step 3: Cross multiply
    22,902.49x = 31,607.28 × 12,833.17
  4. Step 4: Simplify right side
    22,902.49x = 405,621,696.25
  5. Step 5: Solve for x
    x = 405,621,696.25/22,902.49
  6. Step 6: Final answer
    x = 17,710.82

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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.