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Finding the Fourth Proportional to 22,708.24, 31,341.72 and 12,772.24

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Solution

The fourth proportional to 22,708.24, 31,341.72 and 12,772.24 is: 17,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.24 : 31,341.72 = 12,772.24 : x
  2. Step 2: Convert to fraction form
    22,708.24/31,341.72 = 12,772.24/x
  3. Step 3: Cross multiply
    22,708.24x = 31,341.72 × 12,772.24
  4. Step 4: Simplify right side
    22,708.24x = 400,303,969.85
  5. Step 5: Solve for x
    x = 400,303,969.85/22,708.24
  6. Step 6: Final answer
    x = 17,628.14

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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.