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Finding the Fourth Proportional to 22,902.67, 31,604.04 and 12,829.41

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Solution

The fourth proportional to 22,902.67, 31,604.04 and 12,829.41 is: 17,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.67 : 31,604.04 = 12,829.41 : x
  2. Step 2: Convert to fraction form
    22,902.67/31,604.04 = 12,829.41/x
  3. Step 3: Cross multiply
    22,902.67x = 31,604.04 × 12,829.41
  4. Step 4: Simplify right side
    22,902.67x = 405,461,186.82
  5. Step 5: Solve for x
    x = 405,461,186.82/22,902.67
  6. Step 6: Final answer
    x = 17,703.66

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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.