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Finding the Fourth Proportional to 22,964.88, 31,683.60 and 12,891.92

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Solution

The fourth proportional to 22,964.88, 31,683.60 and 12,891.92 is: 17,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.88 : 31,683.60 = 12,891.92 : x
  2. Step 2: Convert to fraction form
    22,964.88/31,683.60 = 12,891.92/x
  3. Step 3: Cross multiply
    22,964.88x = 31,683.60 × 12,891.92
  4. Step 4: Simplify right side
    22,964.88x = 408,462,436.51
  5. Step 5: Solve for x
    x = 408,462,436.51/22,964.88
  6. Step 6: Final answer
    x = 17,786.40

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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.