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Finding the Fourth Proportional to 22,964.71, 31,689.10 and 12,890.84

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Solution

The fourth proportional to 22,964.71, 31,689.10 and 12,890.84 is: 17,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.71 : 31,689.10 = 12,890.84 : x
  2. Step 2: Convert to fraction form
    22,964.71/31,689.10 = 12,890.84/x
  3. Step 3: Cross multiply
    22,964.71x = 31,689.10 × 12,890.84
  4. Step 4: Simplify right side
    22,964.71x = 408,498,959.40
  5. Step 5: Solve for x
    x = 408,498,959.40/22,964.71
  6. Step 6: Final answer
    x = 17,788.12

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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.