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Finding the Fourth Proportional to 22,493.56, 31,035.40 and 12,802.99

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Solution

The fourth proportional to 22,493.56, 31,035.40 and 12,802.99 is: 17,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.56 : 31,035.40 = 12,802.99 : x
  2. Step 2: Convert to fraction form
    22,493.56/31,035.40 = 12,802.99/x
  3. Step 3: Cross multiply
    22,493.56x = 31,035.40 × 12,802.99
  4. Step 4: Simplify right side
    22,493.56x = 397,345,915.85
  5. Step 5: Solve for x
    x = 397,345,915.85/22,493.56
  6. Step 6: Final answer
    x = 17,664.87

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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.