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Finding the Fourth Proportional to 22,583.34, 31,164.93 and 12,647.34

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Solution

The fourth proportional to 22,583.34, 31,164.93 and 12,647.34 is: 17,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.34 : 31,164.93 = 12,647.34 : x
  2. Step 2: Convert to fraction form
    22,583.34/31,164.93 = 12,647.34/x
  3. Step 3: Cross multiply
    22,583.34x = 31,164.93 × 12,647.34
  4. Step 4: Simplify right side
    22,583.34x = 394,153,465.79
  5. Step 5: Solve for x
    x = 394,153,465.79/22,583.34
  6. Step 6: Final answer
    x = 17,453.28

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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.