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Finding the Fourth Proportional to 22,901.49, 31,605.24 and 12,829.34

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Solution

The fourth proportional to 22,901.49, 31,605.24 and 12,829.34 is: 17,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.49 : 31,605.24 = 12,829.34 : x
  2. Step 2: Convert to fraction form
    22,901.49/31,605.24 = 12,829.34/x
  3. Step 3: Cross multiply
    22,901.49x = 31,605.24 × 12,829.34
  4. Step 4: Simplify right side
    22,901.49x = 405,474,369.74
  5. Step 5: Solve for x
    x = 405,474,369.74/22,901.49
  6. Step 6: Final answer
    x = 17,705.15

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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.