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Finding the Fourth Proportional to 22,583.80, 31,164.82 and 13,024.09

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Solution

The fourth proportional to 22,583.80, 31,164.82 and 13,024.09 is: 17,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.80 : 31,164.82 = 13,024.09 : x
  2. Step 2: Convert to fraction form
    22,583.80/31,164.82 = 13,024.09/x
  3. Step 3: Cross multiply
    22,583.80x = 31,164.82 × 13,024.09
  4. Step 4: Simplify right side
    22,583.80x = 405,893,420.51
  5. Step 5: Solve for x
    x = 405,893,420.51/22,583.80
  6. Step 6: Final answer
    x = 17,972.77

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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.