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Finding the Fourth Proportional to 22,903.49, 31,608.66 and 12,834.17

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Solution

The fourth proportional to 22,903.49, 31,608.66 and 12,834.17 is: 17,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.49 : 31,608.66 = 12,834.17 : x
  2. Step 2: Convert to fraction form
    22,903.49/31,608.66 = 12,834.17/x
  3. Step 3: Cross multiply
    22,903.49x = 31,608.66 × 12,834.17
  4. Step 4: Simplify right side
    22,903.49x = 405,670,915.91
  5. Step 5: Solve for x
    x = 405,670,915.91/22,903.49
  6. Step 6: Final answer
    x = 17,712.19

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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.