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Finding the Fourth Proportional to 22,718.24, 31,350.80 and 12,782.24

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Solution

The fourth proportional to 22,718.24, 31,350.80 and 12,782.24 is: 17,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.24 : 31,350.80 = 12,782.24 : x
  2. Step 2: Convert to fraction form
    22,718.24/31,350.80 = 12,782.24/x
  3. Step 3: Cross multiply
    22,718.24x = 31,350.80 × 12,782.24
  4. Step 4: Simplify right side
    22,718.24x = 400,733,449.79
  5. Step 5: Solve for x
    x = 400,733,449.79/22,718.24
  6. Step 6: Final answer
    x = 17,639.28

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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.